121370400 has 180 divisors, whose sum is σ = 442850562. Its totient is φ = 32348160.

The previous prime is 121370393. The next prime is 121370407. The reversal of 121370400 is 4073121.

It is an interprime number because it is at equal distance from previous prime (121370393) and next prime (121370407).

It can be written as a sum of positive squares in 3 ways, for example, as 53406864 + 67963536 = 7308^2 + 8244^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121370407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63864 + ... + 65736.

Almost surely, 2^121370400 is an apocalyptic number.

121370400 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 121370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221425281).

121370400 is an abundant number, since it is smaller than the sum of its proper divisors (321480162).

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

121370400 is a wasteful number, since it uses less digits than its factorization.

121370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121370400 is about 11016.8234986315. The cubic root of 121370400 is about 495.1129218961.

The spelling of 121370400 in words is "one hundred twenty-one million, three hundred seventy thousand, four hundred".