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22001201034120 = 23335711226878951
BaseRepresentation
bin1010000000010100011011…
…10001011011001110001000
32212220021221112021012201000
411000022031301123032020
510340431424431042440
6114443113501255000
74430351162113110
oct500121561331610
985807845235630
1022001201034120
117012725460600
122573b91864460
13c37920612189
14560c1442a040
1528247d505730
hex14028dc5b388

22001201034120 has 768 divisors, whose sum is σ = 92170823270400. Its totient is φ = 4569466176000.

The previous prime is 22001201034101. The next prime is 22001201034133. The reversal of 22001201034120 is 2143010210022.

It is a happy number.

22001201034120 is a `hidden beast` number, since 2 + 200 + 120 + 1 + 0 + 341 + 2 + 0 = 666.

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 = 22001201034093 and 22001201034102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2457955645 + ... + 2457964595.

It is an arithmetic number, because the mean of its divisors is an integer number (120014092800).

Almost surely, 222001201034120 is an apocalyptic number.

22001201034120 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 22001201034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085411635200).

22001201034120 is an abundant number, since it is smaller than the sum of its proper divisors (70169622236280).

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

22001201034120 is a wasteful number, since it uses less digits than its factorization.

22001201034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11687 (or 11666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22001201034120 its reverse (2143010210022), we get a palindrome (24144211244142).

The spelling of 22001201034120 in words is "twenty-two trillion, one billion, two hundred one million, thirty-four thousand, one hundred twenty".