121132040 has 64 divisors (see below), whose sum is σ = 281277360. Its totient is φ = 46919680.

The previous prime is 121132003. The next prime is 121132051. The reversal of 121132040 is 40231121.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 121132036 = 2^2 + 11006^2 .

It is a super-2 number, since 2×121132040² = 29345942229123200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381962 + ... + 382278.

Almost surely, 2^121132040 is an apocalyptic number.

121132040 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 121132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140638680).

121132040 is an abundant number, since it is smaller than the sum of its proper divisors (160145320).

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

121132040 is a wasteful number, since it uses less digits than its factorization.

121132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 121132040 is about 11006.0001817191. Note that the first 3 decimals coincide. The cubic root of 121132040 is about 494.7885911496.

Adding to 121132040 its reverse (40231121), we get a palindrome (161363161).

The spelling of 121132040 in words is "one hundred twenty-one million, one hundred thirty-two thousand, forty".