121662016 has 56 divisors (see below), whose sum is σ = 290454080. Its totient is φ = 49393152.

The previous prime is 121661993. The next prime is 121662043. The reversal of 121662016 is 610266121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×121662016² = 29603292274368512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 15658.

It is an arithmetic number, because the mean of its divisors is an integer number (5186680).

Almost surely, 2^121662016 is an apocalyptic number.

121662016 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 121662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145227040).

121662016 is an abundant number, since it is smaller than the sum of its proper divisors (168792064).

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

121662016 is a wasteful number, since it uses less digits than its factorization.

121662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 121662016 is about 11030.0505891859. The cubic root of 121662016 is about 495.5091397768.

The spelling of 121662016 in words is "one hundred twenty-one million, six hundred sixty-two thousand, sixteen".