10612022400 has 288 divisors, whose sum is σ = 43276396800. Its totient is φ = 2425559040.

The previous prime is 10612022383. The next prime is 10612022401. The reversal of 10612022400 is 422021601.

10612022400 is a `hidden beast` number, since 1 + 0 + 61 + 202 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10612022400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175281 + ... + 227919.

Almost surely, 2^10612022400 is an apocalyptic number.

10612022400 is a gapful number since it is divisible by the number (10) 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 10612022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21638198400).

10612022400 is an abundant number, since it is smaller than the sum of its proper divisors (32664374400).

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

10612022400 is a wasteful number, since it uses less digits than its factorization.

10612022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52676 (or 52656 counting only the distinct ones).

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

The spelling of 10612022400 in words is "ten billion, six hundred twelve million, twenty-two thousand, four hundred".