121725800 has 72 divisors (see below), whose sum is σ = 329245110. Its totient is φ = 41731200.

The previous prime is 121725787. The next prime is 121725803. The reversal of 121725800 is 8527121.

It can be written as a sum of positive squares in 3 ways, for example, as 115304644 + 6421156 = 10738^2 + 2534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121725800.

It is not an unprimeable number, because it can be changed into a prime (121725803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3590 + ... + 16010.

Almost surely, 2^121725800 is an apocalyptic number.

121725800 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 121725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164622555).

121725800 is an abundant number, since it is smaller than the sum of its proper divisors (207519310).

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

121725800 is a wasteful number, since it uses less digits than its factorization.

121725800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12451 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 121725800 is about 11032.9415841832. The cubic root of 121725800 is about 495.5957185198.

The spelling of 121725800 in words is "one hundred twenty-one million, seven hundred twenty-five thousand, eight hundred".