121010400 has 324 divisors, whose sum is σ = 497827512. Its totient is φ = 27659520.

The previous prime is 121010353. The next prime is 121010413. The reversal of 121010400 is 4010121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17287197 + ... + 17287203.

Almost surely, 2^121010400 is an apocalyptic number.

121010400 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 121010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248913756).

121010400 is an abundant number, since it is smaller than the sum of its proper divisors (376817112).

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

121010400 is an frugal number, since it uses more digits than its factorization.

121010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121010400 is about 11000.4727171154. The cubic root of 121010400 is about 494.6229145276.

Adding to 121010400 its reverse (4010121), we get a palindrome (125020521).

The spelling of 121010400 in words is "one hundred twenty-one million, ten thousand, four hundred".