12721401967050 has 576 divisors, whose sum is σ = 43544947230720. Its totient is φ = 2595593341440.

The previous prime is 12721401967033. The next prime is 12721401967051. The reversal of 12721401967050 is 5076910412721.

12721401967050 is a `hidden beast` number, since 1 + 27 + 21 + 401 + 96 + 70 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12721401966987 and 12721401967005.

It is not an unprimeable number, because it can be changed into a prime (12721401967051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92159884 + ... + 92297816.

It is an arithmetic number, because the mean of its divisors is an integer number (75598866720).

Almost surely, 2^{12721401967050} is an apocalyptic number.

12721401967050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721401967050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772473615360).

12721401967050 is an abundant number, since it is smaller than the sum of its proper divisors (30823545263670).

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

12721401967050 is a wasteful number, since it uses less digits than its factorization.

12721401967050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138067 (or 138059 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12721401967050 in words is "twelve trillion, seven hundred twenty-one billion, four hundred one million, nine hundred sixty-seven thousand, fifty".