122551400 has 48 divisors (see below), whose sum is σ = 292650540. Its totient is φ = 47692800.

The previous prime is 122551399. The next prime is 122551439. The reversal of 122551400 is 4155221.

It can be written as a sum of positive squares in 6 ways, for example, as 37136836 + 85414564 = 6094^2 + 9242^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881 + ... + 15680.

Almost surely, 2^122551400 is an apocalyptic number.

122551400 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 122551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146325270).

122551400 is an abundant number, since it is smaller than the sum of its proper divisors (170099140).

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

122551400 is a wasteful number, since it uses less digits than its factorization.

122551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 122551400 is about 11070.2935823762. The cubic root of 122551400 is about 496.7136470931.

It can be divided in two parts, 1225 and 51400, that added together give a palindrome (52625).

The spelling of 122551400 in words is "one hundred twenty-two million, five hundred fifty-one thousand, four hundred".