121313700 has 180 divisors, whose sum is σ = 416856132. Its totient is φ = 30412800.

The previous prime is 121313671. The next prime is 121313719. The reversal of 121313700 is 7313121.

It can be written as a sum of positive squares in 6 ways, for example, as 3504384 + 117809316 = 1872^2 + 10854^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137260 + ... + 138140.

Almost surely, 2^121313700 is an apocalyptic number.

121313700 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 121313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208428066).

121313700 is an abundant number, since it is smaller than the sum of its proper divisors (295542432).

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

121313700 is a wasteful number, since it uses less digits than its factorization.

121313700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 121313700 is about 11014.2498609756. The cubic root of 121313700 is about 495.0358100815.

Adding to 121313700 its reverse (7313121), we get a palindrome (128626821).

The spelling of 121313700 in words is "one hundred twenty-one million, three hundred thirteen thousand, seven hundred".