107022784128000 has 4224 divisors, whose sum is σ = 435898909555200. Its totient is φ = 23187161088000.

The previous prime is 107022784127993. The next prime is 107022784128077. The reversal of 107022784128000 is 821487220701.

It is a super-2 number, since 2×107022784128000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1466065535964 + ... + 1466065536036.

Almost surely, 2^{107022784128000} is an apocalyptic number.

107022784128000 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 107022784128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217949454777600).

107022784128000 is an abundant number, since it is smaller than the sum of its proper divisors (328876125427200).

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

107022784128000 is a wasteful number, since it uses less digits than its factorization.

107022784128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 107022784128000 in words is "one hundred seven trillion, twenty-two billion, seven hundred eighty-four million, one hundred twenty-eight thousand".