121125461040 has 240 divisors, whose sum is σ = 434001481056. Its totient is φ = 30167654400.

The previous prime is 121125461029. The next prime is 121125461077. The reversal of 121125461040 is 40164521121.

121125461040 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 5 + 4 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 121125460995 and 121125461013.

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, 1565670 + ... + 1641210.

Almost surely, 2^121125461040 is an apocalyptic number.

121125461040 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 121125461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217000740528).

121125461040 is an abundant number, since it is smaller than the sum of its proper divisors (312876020016).

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

121125461040 is a wasteful number, since it uses less digits than its factorization.

121125461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75708 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 121125461040 its reverse (40164521121), we get a palindrome (161289982161).

The spelling of 121125461040 in words is "one hundred twenty-one billion, one hundred twenty-five million, four hundred sixty-one thousand, forty".