122660054400 has 768 divisors, whose sum is σ = 448771276800. Its totient is φ = 29262643200.

The previous prime is 122660054381. The next prime is 122660054411. The reversal of 122660054400 is 4450066221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965827137 + ... + 965827263.

It is an arithmetic number, because the mean of its divisors is an integer number (584337600).

Almost surely, 2^122660054400 is an apocalyptic number.

122660054400 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 122660054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224385638400).

122660054400 is an abundant number, since it is smaller than the sum of its proper divisors (326111222400).

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

122660054400 is a wasteful number, since it uses less digits than its factorization.

122660054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 122660054400 in words is "one hundred twenty-two billion, six hundred sixty million, fifty-four thousand, four hundred".