121683072 has 192 divisors, whose sum is σ = 390700800. Its totient is φ = 33417216.

The previous prime is 121683031. The next prime is 121683073. The reversal of 121683072 is 270386121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×121683072² = 29613540022714368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (121683073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545553 + ... + 545775.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^121683072 is an apocalyptic number.

121683072 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 121683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

121683072 is an abundant number, since it is smaller than the sum of its proper divisors (269017728).

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

121683072 is a wasteful number, since it uses less digits than its factorization.

121683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 121683072 is about 11031.0050312743. The cubic root of 121683072 is about 495.5377239888.

The spelling of 121683072 in words is "one hundred twenty-one million, six hundred eighty-three thousand, seventy-two".