121315152 has 160 divisors (see below), whose sum is σ = 389816320. Its totient is φ = 31726080.

The previous prime is 121315127. The next prime is 121315163. The reversal of 121315152 is 251513121.

It is a super-2 number, since 2×121315152² = 29434732209566208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197598 + ... + 198210.

It is an arithmetic number, because the mean of its divisors is an integer number (2436352).

Almost surely, 2^121315152 is an apocalyptic number.

121315152 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 121315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194908160).

121315152 is an abundant number, since it is smaller than the sum of its proper divisors (268501168).

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

121315152 is a wasteful number, since it uses less digits than its factorization.

121315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its digits is 300, while the sum is 21.

The square root of 121315152 is about 11014.3157753898. The cubic root of 121315152 is about 495.0377850965.

Adding to 121315152 its reverse (251513121), we get a palindrome (372828273).

The spelling of 121315152 in words is "one hundred twenty-one million, three hundred fifteen thousand, one hundred fifty-two".