22227629424000 has 2048 divisors, whose sum is σ = 102131393495040. Its totient is φ = 4125634560000.

The previous prime is 22227629423927. The next prime is 22227629424041. The reversal of 22227629424000 is 42492672222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1489480539 + ... + 1489495461.

It is an arithmetic number, because the mean of its divisors is an integer number (49868844480).

Almost surely, 2^{22227629424000} is an apocalyptic number.

22227629424000 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 22227629424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51065696747520).

22227629424000 is an abundant number, since it is smaller than the sum of its proper divisors (79903764071040).

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

22227629424000 is a wasteful number, since it uses less digits than its factorization.

22227629424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017 (or 14995 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 22227629424000 in words is "twenty-two trillion, two hundred twenty-seven billion, six hundred twenty-nine million, four hundred twenty-four thousand".