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20012220102120 = 23354132511251161
BaseRepresentation
bin1001000110011011101010…
…10001010011010111101000
32121212011001000202000100120
410203031311101103113220
510110340011321231440
6110321253105203240
74133556320125521
oct443156521232750
977764030660316
1020012220102120
116416153591694
1222b2604030520
13b221b4c205ac
144d284d1b1848
1524a86cad1dd0
hex1233754535e8

20012220102120 has 128 divisors (see below), whose sum is σ = 61519935818880. Its totient is φ = 5204825600000.

The previous prime is 20012220102101. The next prime is 20012220102131. The reversal of 20012220102120 is 2120102221002.

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 20012220102120.

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, 15369340 + ... + 16620500.

It is an arithmetic number, because the mean of its divisors is an integer number (480624498585).

Almost surely, 220012220102120 is an apocalyptic number.

20012220102120 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 20012220102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30759967909440).

20012220102120 is an abundant number, since it is smaller than the sum of its proper divisors (41507715716760).

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

20012220102120 is a wasteful number, since it uses less digits than its factorization.

20012220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254467 (or 1254463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20012220102120 its reverse (2120102221002), we get a palindrome (22132322323122).

The spelling of 20012220102120 in words is "twenty trillion, twelve billion, two hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 3251 4920 6502 9753 13004 16255 19506 26008 32510 39012 48765 65020 78024 97530 130040 133291 195060 266582 390120 399873 533164 666455 799746 1066328 1251161 1332910 1599492 1999365 2502322 2665820 3198984 3753483 3998730 5004644 5331640 6255805 7506966 7997460 10009288 12511610 15013932 15994920 18767415 25023220 30027864 37534830 50046440 51297601 75069660 102595202 150139320 153892803 205190404 256488005 307785606 410380808 512976010 615571212 769464015 1025952020 1231142424 1538928030 2051904040 3077856060 4067524411 6155712120 8135048822 12202573233 16270097644 20337622055 24405146466 32540195288 40675244110 48810292932 61012866165 81350488220 97620585864 122025732330 162700976440 166768500851 244051464660 333537001702 488102929320 500305502553 667074003404 833842504255 1000611005106 1334148006808 1667685008510 2001222010212 2501527512765 3335370017020 4002444020424 5003055025530 6670740034040 10006110051060 20012220102120