121811687712 has 288 divisors, whose sum is σ = 417965970240. Its totient is φ = 33151887360.

The previous prime is 121811687653. The next prime is 121811687729. The reversal of 121811687712 is 217786118121.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1483839 + ... + 1563777.

It is an arithmetic number, because the mean of its divisors is an integer number (1451270730).

Almost surely, 2^121811687712 is an apocalyptic number.

121811687712 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 121811687712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208982985120).

121811687712 is an abundant number, since it is smaller than the sum of its proper divisors (296154282528).

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

121811687712 is a wasteful number, since it uses less digits than its factorization.

121811687712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80016 (or 80005 counting only the distinct ones).

The product of its digits is 75264, while the sum is 45.

The spelling of 121811687712 in words is "one hundred twenty-one billion, eight hundred eleven million, six hundred eighty-seven thousand, seven hundred twelve".