121315392 has 168 divisors, whose sum is σ = 389424672. Its totient is φ = 35788800.

The previous prime is 121315391. The next prime is 121315421. The reversal of 121315392 is 293513121.

121315392 is a `hidden beast` number, since 121 + 3 + 1 + 539 + 2 = 666.

It is a super-2 number, since 2×121315392² = 29434848672227328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121315391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259543 + ... + 260009.

It is an arithmetic number, because the mean of its divisors is an integer number (2318004).

Almost surely, 2^121315392 is an apocalyptic number.

121315392 is a gapful number since it is divisible by the number (12) 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 121315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712336).

121315392 is an abundant number, since it is smaller than the sum of its proper divisors (268109280).

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

121315392 is a wasteful number, since it uses less digits than its factorization.

121315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 524 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 121315392 is about 11014.3266702963. The cubic root of 121315392 is about 495.0381115437.

It can be divided in two parts, 121 and 315392, that added together give a palindrome (315513).

The spelling of 121315392 in words is "one hundred twenty-one million, three hundred fifteen thousand, three hundred ninety-two".