122270086400 has 432 divisors, whose sum is σ = 385415331840. Its totient is φ = 37292236800.

The previous prime is 122270086381. The next prime is 122270086429. The reversal of 122270086400 is 4680072221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23158961 + ... + 23164239.

It is an arithmetic number, because the mean of its divisors is an integer number (892165120).

Almost surely, 2^122270086400 is an apocalyptic number.

122270086400 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 122270086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192707665920).

122270086400 is an abundant number, since it is smaller than the sum of its proper divisors (263145245440).

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

122270086400 is a wasteful number, since it uses less digits than its factorization.

122270086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 122270086400 in words is "one hundred twenty-two billion, two hundred seventy million, eighty-six thousand, four hundred".