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1122210012120 = 233559887178697
BaseRepresentation
bin10000010101001000111…
…011011101101111011000
310222021121202010021200020
4100111020323131233120
5121341241230341440
62215311451110440
7144035260500321
oct20251073355730
93867552107606
101122210012120
113a2a2132890a
121615a9a42420
1381a932ab792
143c45b0b5448
151e2d07653d0
hex10548eddbd8

1122210012120 has 128 divisors (see below), whose sum is σ = 3427570598400. Its totient is φ = 293850561536.

The previous prime is 1122210012113. The next prime is 1122210012199. The reversal of 1122210012120 is 212100122211.

It is a super-2 number, since 2×11222100121202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122210012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6190612 + ... + 6369308.

It is an arithmetic number, because the mean of its divisors is an integer number (26777895300).

Almost surely, 21122210012120 is an apocalyptic number.

1122210012120 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 1122210012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713785299200).

1122210012120 is an abundant number, since it is smaller than the sum of its proper divisors (2305360586280).

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

1122210012120 is a wasteful number, since it uses less digits than its factorization.

1122210012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179657 (or 179653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122210012120 its reverse (212100122211), we get a palindrome (1334310134331).

The spelling of 1122210012120 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 887 1180 1416 1770 1774 2360 2661 3540 3548 4435 5322 7080 7096 8870 10644 13305 17740 21288 26610 35480 52333 53220 104666 106440 156999 178697 209332 261665 313998 357394 418664 523330 536091 627996 714788 784995 893485 1046660 1072182 1255992 1429576 1569990 1786970 2093320 2144364 2680455 3139980 3573940 4288728 5360910 6279960 7147880 10543123 10721820 21086246 21443640 31629369 42172492 52715615 63258738 84344984 105431230 126517476 158146845 158504239 210862460 253034952 316293690 317008478 421724920 475512717 632587380 634016956 792521195 951025434 1265174760 1268033912 1585042390 1902050868 2377563585 3170084780 3804101736 4755127170 6340169560 9351750101 9510254340 18703500202 19020508680 28055250303 37407000404 46758750505 56110500606 74814000808 93517501010 112221001212 140276251515 187035002020 224442002424 280552503030 374070004040 561105006060 1122210012120