121629875187072 has 512 divisors, whose sum is σ = 392625106606080. Its totient is φ = 32567482515456.

The previous prime is 121629875187043. The next prime is 121629875187097. The reversal of 121629875187072 is 270781578926121.

It is a junction number, because it is equal to n+sod(n) for n = 121629875186994 and 121629875187012.

It is a congruent number.

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, 30847037133 + ... + 30847041075.

It is an arithmetic number, because the mean of its divisors is an integer number (766845911340).

Almost surely, 2^{121629875187072} is an apocalyptic number.

121629875187072 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 121629875187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196312553303040).

121629875187072 is an abundant number, since it is smaller than the sum of its proper divisors (270995231419008).

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

121629875187072 is a wasteful number, since it uses less digits than its factorization.

121629875187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 66.

The spelling of 121629875187072 in words is "one hundred twenty-one trillion, six hundred twenty-nine billion, eight hundred seventy-five million, one hundred eighty-seven thousand, seventy-two".