121038120 has 192 divisors, whose sum is σ = 460437120. Its totient is φ = 26998272.

The previous prime is 121038119. The next prime is 121038149. The reversal of 121038120 is 21830121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121038093 and 121038102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107802 + ... + 108918.

It is an arithmetic number, because the mean of its divisors is an integer number (2398110).

Almost surely, 2^121038120 is an apocalyptic number.

121038120 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 121038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230218560).

121038120 is an abundant number, since it is smaller than the sum of its proper divisors (339399000).

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

121038120 is a wasteful number, since it uses less digits than its factorization.

121038120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121038120 is about 11001.7325908240. The cubic root of 121038120 is about 494.6606796023.

Adding to 121038120 its reverse (21830121), we get a palindrome (142868241).

The spelling of 121038120 in words is "one hundred twenty-one million, thirty-eight thousand, one hundred twenty".