121248736 has 72 divisors (see below), whose sum is σ = 283114440. Its totient is φ = 50948352.

The previous prime is 121248733. The next prime is 121248817. The reversal of 121248736 is 637842121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121248731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82375 + ... + 83833.

It is an arithmetic number, because the mean of its divisors is an integer number (3932145).

Almost surely, 2^121248736 is an apocalyptic number.

121248736 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 121248736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557220).

121248736 is an abundant number, since it is smaller than the sum of its proper divisors (161865704).

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

121248736 is a wasteful number, since it uses less digits than its factorization.

121248736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1521 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 121248736 is about 11011.3003773396. The cubic root of 121248736 is about 494.9474297128.

The spelling of 121248736 in words is "one hundred twenty-one million, two hundred forty-eight thousand, seven hundred thirty-six".