121365972 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 31269888.

The previous prime is 121365949. The next prime is 121365973. The reversal of 121365972 is 279563121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121365973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520768 + ... + 521000.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^121365972 is an apocalyptic number.

121365972 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 121365972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

121365972 is an abundant number, since it is smaller than the sum of its proper divisors (274898988).

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

121365972 is a wasteful number, since it uses less digits than its factorization.

121365972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 121365972 is about 11016.6225314295. The cubic root of 121365972 is about 495.1069006952.

The spelling of 121365972 in words is "one hundred twenty-one million, three hundred sixty-five thousand, nine hundred seventy-two".