121625226360 has 1152 divisors, whose sum is σ = 495571789440. Its totient is φ = 25692733440.

The previous prime is 121625226313. The next prime is 121625226439. The reversal of 121625226360 is 63622526121.

121625226360 is a `hidden beast` number, since 1 + 2 + 1 + 625 + 2 + 26 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 630182424 + ... + 630182616.

It is an arithmetic number, because the mean of its divisors is an integer number (430183845).

Almost surely, 2^121625226360 is an apocalyptic number.

121625226360 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 121625226360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247785894720).

121625226360 is an abundant number, since it is smaller than the sum of its proper divisors (373946563080).

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

121625226360 is a wasteful number, since it uses less digits than its factorization.

121625226360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 121625226360 in words is "one hundred twenty-one billion, six hundred twenty-five million, two hundred twenty-six thousand, three hundred sixty".