121057820 has 48 divisors (see below), whose sum is σ = 274760640. Its totient is φ = 44537856.

The previous prime is 121057813. The next prime is 121057829. The reversal of 121057820 is 28750121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 121057820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121057829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91121 + ... + 92439.

It is an arithmetic number, because the mean of its divisors is an integer number (5724180).

Almost surely, 2^121057820 is an apocalyptic number.

121057820 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 121057820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137380320).

121057820 is an abundant number, since it is smaller than the sum of its proper divisors (153702820).

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

121057820 is a wasteful number, since it uses less digits than its factorization.

121057820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 121057820 is about 11002.6278679232. The cubic root of 121057820 is about 494.6875149132.

The spelling of 121057820 in words is "one hundred twenty-one million, fifty-seven thousand, eight hundred twenty".