121568726412 has 144 divisors (see below), whose sum is σ = 359990991360. Its totient is φ = 33867154944.

The previous prime is 121568726407. The next prime is 121568726417. The reversal of 121568726412 is 214627865121.

121568726412 is a `hidden beast` number, since 1 + 2 + 1 + 568 + 72 + 6 + 4 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (121568726407) and next prime (121568726417).

It is not an unprimeable number, because it can be changed into a prime (121568726417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416289 + ... + 6435207.

It is an arithmetic number, because the mean of its divisors is an integer number (2499937440).

Almost surely, 2^121568726412 is an apocalyptic number.

121568726412 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 121568726412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179995495680).

121568726412 is an abundant number, since it is smaller than the sum of its proper divisors (238422264948).

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

121568726412 is a wasteful number, since it uses less digits than its factorization.

121568726412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572 (or 19567 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 121568726412 in words is "one hundred twenty-one billion, five hundred sixty-eight million, seven hundred twenty-six thousand, four hundred twelve".