121124640 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 24588288.

The previous prime is 121124623. The next prime is 121124669. The reversal of 121124640 is 46421121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052931 + ... + 2052989.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^121124640 is an apocalyptic number.

121124640 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 121124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

121124640 is an abundant number, since it is smaller than the sum of its proper divisors (366586080).

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

121124640 is a wasteful number, since it uses less digits than its factorization.

121124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121124640 is about 11005.6639963248. The cubic root of 121124640 is about 494.7785153400.

Adding to 121124640 its reverse (46421121), we get a palindrome (167545761).

The spelling of 121124640 in words is "one hundred twenty-one million, one hundred twenty-four thousand, six hundred forty".