121485936 has 120 divisors (see below), whose sum is σ = 371729680. Its totient is φ = 33960960.

The previous prime is 121485907. The next prime is 121485989. The reversal of 121485936 is 639584121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 121485894 and 121485903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74700 + ... + 76308.

Almost surely, 2^121485936 is an apocalyptic number.

121485936 is a gapful number since it is divisible by the number (16) 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 121485936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185864840).

121485936 is an abundant number, since it is smaller than the sum of its proper divisors (250243744).

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

121485936 is a wasteful number, since it uses less digits than its factorization.

121485936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1638 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 121485936 is about 11022.0658680667. The cubic root of 121485936 is about 495.2699761833.

The spelling of 121485936 in words is "one hundred twenty-one million, four hundred eighty-five thousand, nine hundred thirty-six".