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56422122120 = 2332572131741353
BaseRepresentation
bin110100100011000001…
…010100001010001000
312101122011011202222200
4310203001110022020
51411023030401440
641530413520200
74035123060600
oct644301241210
9171564152880
1056422122120
1121a238a94a1
12ab277a3060
1354224243a0
142a33621c00
1517035b0c30
hexd23054288

56422122120 has 1152 divisors, whose sum is σ = 249869823840. Its totient is φ = 10899947520.

The previous prime is 56422122077. The next prime is 56422122143. The reversal of 56422122120 is 2122122465.

56422122120 is a `hidden beast` number, since 5 + 642 + 2 + 1 + 2 + 2 + 12 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 170615844 + 56251506276 = 13062^2 + 237174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159835864 + ... + 159836216.

Almost surely, 256422122120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56422122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124934911920).

56422122120 is an abundant number, since it is smaller than the sum of its proper divisors (193447701720).

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

56422122120 is a wasteful number, since it uses less digits than its factorization.

56422122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 56422122120 its reverse (2122122465), we get a palindrome (58544244585).

The spelling of 56422122120 in words is "fifty-six billion, four hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".