121257700 has 36 divisors (see below), whose sum is σ = 272209140. Its totient is φ = 46829440.

The previous prime is 121257673. The next prime is 121257727. The reversal of 121257700 is 7752121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121257673) and next prime (121257727).

It can be written as a sum of positive squares in 6 ways, for example, as 14424804 + 106832896 = 3798^2 + 10336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 18007 + ... + 23806.

It is an arithmetic number, because the mean of its divisors is an integer number (7561365).

Almost surely, 2^121257700 is an apocalyptic number.

121257700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121257700 is an abundant number, since it is smaller than the sum of its proper divisors (150951440).

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

121257700 is a wasteful number, since it uses less digits than its factorization.

121257700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41856 (or 41849 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 121257700 is about 11011.7074062109. The cubic root of 121257700 is about 494.9596266769.

The spelling of 121257700 in words is "one hundred twenty-one million, two hundred fifty-seven thousand, seven hundred".