121362768 has 90 divisors (see below), whose sum is σ = 351357162. Its totient is φ = 39104640.

The previous prime is 121362757. The next prime is 121362781. The reversal of 121362768 is 867263121.

121362768 is a `hidden beast` number, since 1 + 21 + 3 + 627 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116380944 + 4981824 = 10788^2 + 2232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137946 + ... + 138822.

Almost surely, 2^121362768 is an apocalyptic number.

121362768 is a gapful number since it is divisible by the number (18) 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 121362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175678581).

121362768 is an abundant number, since it is smaller than the sum of its proper divisors (229994394).

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

121362768 is a wasteful number, since it uses less digits than its factorization.

121362768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 913 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 121362768 is about 11016.4771138509. The cubic root of 121362768 is about 495.1025438000.

The spelling of 121362768 in words is "one hundred twenty-one million, three hundred sixty-two thousand, seven hundred sixty-eight".