121628858472 has 256 divisors, whose sum is σ = 390158208000. Its totient is φ = 34757856000.

The previous prime is 121628858467. The next prime is 121628858503. The reversal of 121628858472 is 274858826121.

121628858472 is a `hidden beast` number, since 1 + 2 + 1 + 628 + 8 + 5 + 8 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2942347 + ... + 2983397.

It is an arithmetic number, because the mean of its divisors is an integer number (1524055500).

Almost surely, 2^121628858472 is an apocalyptic number.

121628858472 is a gapful number since it is divisible by the number (12) 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 121628858472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195079104000).

121628858472 is an abundant number, since it is smaller than the sum of its proper divisors (268529349528).

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

121628858472 is a wasteful number, since it uses less digits than its factorization.

121628858472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41149 (or 41139 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

It can be divided in two parts, 121628 and 858472, that added together give a square (980100 = 990²).

The spelling of 121628858472 in words is "one hundred twenty-one billion, six hundred twenty-eight million, eight hundred fifty-eight thousand, four hundred seventy-two".