122038772800 has 252 divisors, whose sum is σ = 364512026880. Its totient is φ = 40022062080.

The previous prime is 122038772773. The next prime is 122038772851. The reversal of 122038772800 is 8277830221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1769361 + ... + 1837039.

Almost surely, 2^122038772800 is an apocalyptic number.

122038772800 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 122038772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182256013440).

122038772800 is an abundant number, since it is smaller than the sum of its proper divisors (242473254080).

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

122038772800 is a wasteful number, since it uses less digits than its factorization.

122038772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738 (or 67716 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 122038772800 in words is "one hundred twenty-two billion, thirty-eight million, seven hundred seventy-two thousand, eight hundred".