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20121221032122 = 23719913163182893
BaseRepresentation
bin1001001001100110101100…
…01110110110100010111010
32122020120101111012222100010
410210303112032312202322
510114131230041011442
6110443321125322350
74144465420550460
oct444632616664272
978216344188303
1020121221032122
1164583a8793711
12230b7642663b6
13b2c566447702
144d7c2d80a830
1524d5ec12db9c
hex124cd63b68ba

20121221032122 has 64 divisors (see below), whose sum is σ = 46226239027200. Its totient is φ = 5719565421504.

The previous prime is 20121221032117. The next prime is 20121221032189. The reversal of 20121221032122 is 22123012212102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109924908 + ... + 110107800.

It is an arithmetic number, because the mean of its divisors is an integer number (722284984800).

Almost surely, 220121221032122 is an apocalyptic number.

20121221032122 is an abundant number, since it is smaller than the sum of its proper divisors (26105017995078).

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

20121221032122 is a wasteful number, since it uses less digits than its factorization.

20121221032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196267.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20121221032122 its reverse (22123012212102), we get a palindrome (42244233244224).

The spelling of 20121221032122 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 199 398 597 1194 1393 2786 4179 8358 13163 26326 39489 78978 92141 182893 184282 276423 365786 548679 552846 1097358 1280251 2560502 2619437 3840753 5238874 7681506 7858311 15716622 18336059 36395707 36672118 55008177 72791414 109187121 110016354 218374242 254769949 509539898 764309847 1528619694 2407420559 4814841118 7222261677 14444523354 16851943913 33703887826 50555831739 101111663478 479076691241 958153382482 1437230073723 2874460147446 3353536838687 6707073677374 10060610516061 20121221032122