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2120121203220 = 2232537334795111
BaseRepresentation
bin11110110110100001000…
…100100011101000010100
321111200101220002020000200
4132312201010203220110
5234214002012000340
64301545323140500
7306113402612436
oct36664104435024
97450356066020
102120121203220
11748158169759
122a2a88374730
13124c078a7207
1474885d46656
153a238925330
hex1eda1123a14

2120121203220 has 144 divisors (see below), whose sum is σ = 6606888882048. Its totient is φ = 549915367680.

The previous prime is 2120121203191. The next prime is 2120121203287. The reversal of 2120121203220 is 223021210212.

2120121203220 is a `hidden beast` number, since 2 + 120 + 121 + 203 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120121203193 and 2120121203202.

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, 22243465 + ... + 22338575.

It is an arithmetic number, because the mean of its divisors is an integer number (45881172792).

Almost surely, 22120121203220 is an apocalyptic number.

2120121203220 is a gapful number since it is divisible by the number (20) 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 2120121203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303444441024).

2120121203220 is an abundant number, since it is smaller than the sum of its proper divisors (4486767678828).

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

2120121203220 is a wasteful number, since it uses less digits than its factorization.

2120121203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98510 (or 98505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2120121203220 its reverse (223021210212), we get a palindrome (2343142413432).

The spelling of 2120121203220 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3347 6660 6694 10041 13388 16735 20082 30123 33470 40164 50205 60246 66940 95111 100410 120492 123839 150615 190222 200820 247678 285333 301230 371517 380444 475555 495356 570666 602460 619195 743034 855999 951110 1114551 1141332 1238390 1426665 1486068 1711998 1857585 1902220 2229102 2476780 2853330 3423996 3519107 3715170 4279995 4458204 5572755 5706660 7038214 7430340 8559990 10557321 11145510 14076428 17119980 17595535 21114642 22291020 31671963 35191070 42229284 52786605 63343926 70382140 105573210 126687852 158359815 211146420 316719630 318336517 633439260 636673034 955009551 1273346068 1591682585 1910019102 2865028653 3183365170 3820038204 4775047755 5730057306 6366730340 9550095510 11460114612 11778451129 14325143265 19100191020 23556902258 28650286530 35335353387 47113804516 57300573060 58892255645 70670706774 106006060161 117784511290 141341413548 176676766935 212012120322 235569022580 353353533870 424024240644 530030300805 706707067740 1060060601610 2120121203220