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12100122212010 = 2357317181765393
BaseRepresentation
bin1011000000010100011101…
…1111000111011010101010
31120211202112022200110101220
42300011013133013122222
53041222022241241020
641422415220322510
72356130210534160
oct260050737073252
946752468613356
1012100122212010
1139456a65a2668
121435102543436
1369a06261c011
142db912d73230
1515eb42c4b240
hexb01477c76aa

12100122212010 has 64 divisors (see below), whose sum is σ = 33293603688192. Its totient is φ = 2757017465856.

The previous prime is 12100122211999. The next prime is 12100122212021. The reversal of 12100122212010 is 1021222100121.

12100122212010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12100122211999) and next prime (12100122212021).

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

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, 90816127 + ... + 90949266.

It is an arithmetic number, because the mean of its divisors is an integer number (520212557628).

Almost surely, 212100122212010 is an apocalyptic number.

12100122212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100122212010 is an abundant number, since it is smaller than the sum of its proper divisors (21193481476182).

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

12100122212010 is a wasteful number, since it uses less digits than its factorization.

12100122212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181765727.

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

Adding to 12100122212010 its reverse (1021222100121), we get a palindrome (13121344312131).

The spelling of 12100122212010 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 317 634 951 1585 1902 2219 3170 4438 4755 6657 9510 11095 13314 22190 33285 66570 181765393 363530786 545296179 908826965 1090592358 1272357751 1817653930 2544715502 2726480895 3817073253 5452961790 6361788755 7634146506 12723577510 19085366265 38170732530 57619629581 115239259162 172858888743 288098147905 345717777486 403337407067 576196295810 806674814134 864294443715 1210012221201 1728588887430 2016687035335 2420024442402 4033374070670 6050061106005 12100122212010