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121132213223220 = 223253117512881289
BaseRepresentation
bin11011100010101101001010…
…100010100011111100110100
3120212220010102012201002112200
4123202231022202203330310
5111334112233041120340
61105343212011344500
734341341110612323
oct3342551242437464
9525803365632480
10121132213223220
11356619794aa631
1211704299152130
135278945c7b374
1421cab8a8a20ba
15e00dd81b0330
hex6e2b4a8a3f34

121132213223220 has 144 divisors (see below), whose sum is σ = 369106802588160. Its totient is φ = 32155174080000.

The previous prime is 121132213223209. The next prime is 121132213223261. The reversal of 121132213223220 is 22322312231121.

121132213223220 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 2 + 213 + 223 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40600336 + ... + 43481624.

It is an arithmetic number, because the mean of its divisors is an integer number (2563241684640).

Almost surely, 2121132213223220 is an apocalyptic number.

121132213223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121132213223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184553401294080).

121132213223220 is an abundant number, since it is smaller than the sum of its proper divisors (247974589364940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121132213223220 is a wasteful number, since it uses less digits than its factorization.

121132213223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882366 (or 2882361 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121132213223220 its reverse (22322312231121), we get a palindrome (143454525454341).

The spelling of 121132213223220 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 751 933 1244 1502 1555 1866 2253 2799 3004 3110 3732 3755 4506 4665 5598 6220 6759 7510 9012 9330 11196 11265 13518 13995 15020 18660 22530 27036 27990 33795 45060 55980 67590 135180 233561 467122 700683 934244 1167805 1401366 2102049 2335610 2802732 2881289 3503415 4204098 4671220 5762578 7006830 8408196 8643867 10510245 11525156 14013660 14406445 17287734 21020490 25931601 28812890 34575468 42040980 43219335 51863202 57625780 86438670 103726404 129658005 172877340 259316010 518632020 896080879 1792161758 2163848039 2688242637 3584323516 4327696078 4480404395 5376485274 6491544117 8064727911 8655392156 8960808790 10752970548 10819240195 12983088234 13441213185 16129455822 17921617580 19474632351 21638480390 25966176468 26882426370 32258911644 32457720585 38949264702 40323639555 43276960780 53764852740 64915441170 77898529404 80647279110 97373161755 129830882340 161294558220 194746323510 389492647020 672956740129 1345913480258 2018870220387 2691826960516 3364783700645 4037740440774 6056610661161 6729567401290 8075480881548 10094351101935 12113221322322 13459134802580 20188702203870 24226442644644 30283053305805 40377404407740 60566106611610 121132213223220