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20121122000210 = 2571171709519107
BaseRepresentation
bin1001001001100110100000…
…10101000100110101010010
32122020120010120212122002112
410210303100111010311102
510114131024213001320
6110443303230545322
74144463106026630
oct444632025046522
978216116778075
1020121122000210
1164583578a3560
12230b737068242
13b2c54ba8274a
144d7c205cc350
1524d5e35baec5
hex124cd0544d52

20121122000210 has 128 divisors (see below), whose sum is σ = 45855592058880. Its totient is φ = 6174454406400.

The previous prime is 20121122000167. The next prime is 20121122000233. The reversal of 20121122000210 is 1200022112102.

It is a super-3 number, since 3×201211220002103 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38501477 + ... + 39020583.

It is an arithmetic number, because the mean of its divisors is an integer number (358246812960).

Almost surely, 220121122000210 is an apocalyptic number.

20121122000210 is an abundant number, since it is smaller than the sum of its proper divisors (25734470058670).

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

20121122000210 is a wasteful number, since it uses less digits than its factorization.

20121122000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519912.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121122000210 its reverse (1200022112102), we get a palindrome (21321144112312).

The spelling of 20121122000210 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 35 55 70 71 77 110 142 154 355 385 497 709 710 770 781 994 1418 1562 2485 3545 3905 4963 4970 5467 7090 7799 7810 9926 10934 15598 24815 27335 38995 49630 50339 54593 54670 77990 100678 109186 251695 272965 352373 503390 519107 545930 553729 704746 1038214 1107458 1761865 2595535 2768645 3523730 3633749 3876103 5191070 5537290 5710177 7267498 7752206 11420354 18168745 19380515 28550885 36337490 36856597 38761030 39971239 57101770 73713194 79942478 184282985 199856195 257996179 368046863 368565970 399712390 405422567 515992358 736093726 810845134 1289980895 1840234315 2027112835 2576328041 2579961790 2837957969 3680468630 4048515493 4054225670 5152656082 5675915938 8097030986 12881640205 14189789845 20242577465 25763280410 26131327273 28339608451 28379579690 40485154930 52262654546 56679216902 130656636365 141698042255 182919290911 261313272730 283396084510 287444600003 365838581822 574889200006 914596454555 1437223000015 1829192909110 2012112200021 2874446000030 4024224400042 10060561000105 20121122000210