121292620 has 72 divisors (see below), whose sum is σ = 277046784. Its totient is φ = 44448768.

The previous prime is 121292609. The next prime is 121292621. The reversal of 121292620 is 26292121.

It is a super-3 number, since 3×121292620³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121292621) 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, 954997 + ... + 955123.

It is an arithmetic number, because the mean of its divisors is an integer number (3847872).

Almost surely, 2^121292620 is an apocalyptic number.

121292620 is a gapful number since it is divisible by the number (10) 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 121292620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138523392).

121292620 is an abundant number, since it is smaller than the sum of its proper divisors (155754164).

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

121292620 is a wasteful number, since it uses less digits than its factorization.

121292620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 204 counting only the distinct ones).

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

The square root of 121292620 is about 11013.2928772461. The cubic root of 121292620 is about 495.0071352235.

The spelling of 121292620 in words is "one hundred twenty-one million, two hundred ninety-two thousand, six hundred twenty".