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20111221012122 = 234124143339581
BaseRepresentation
bin1001001001010100000100…
…01011110011011010011010
32122012121120120102022210000
410210222002023303122122
510114000240034341442
6110434544542233430
74143662543023302
oct444520213633232
978177516368700
1020111221012122
116454136a65679
122309833285876
13b2b631751106
144d7561680602
1524d214269d4c
hex124a822f369a

20111221012122 has 20 divisors (see below), whose sum is σ = 45064032268266. Its totient is φ = 6703740337320.

The previous prime is 20111221012111. The next prime is 20111221012187. The reversal of 20111221012122 is 22121012211102.

20111221012122 is a `hidden beast` number, since 201 + 112 + 210 + 121 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19925769341241 + 185451670881 = 4463829^2 + 430641^2 .

It is a super-2 number, since 2×201112210121222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20111221012095 and 20111221012104.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62071669629 + ... + 62071669952.

Almost surely, 220111221012122 is an apocalyptic number.

20111221012122 is an abundant number, since it is smaller than the sum of its proper divisors (24952811256144).

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

20111221012122 is a wasteful number, since it uses less digits than its factorization.

20111221012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124143339595 (or 124143339586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20111221012122 its reverse (22121012211102), we get a palindrome (42232233223224).

The spelling of 20111221012122 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 124143339581 248286679162 372430018743 744860037486 1117290056229 2234580112458 3351870168687 6703740337374 10055610506061 20111221012122