127057012722225 has 72 divisors (see below), whose sum is σ = 229646203836192. Its totient is φ = 67147991539200.

The previous prime is 127057012722209. The next prime is 127057012722287. The reversal of 127057012722225 is 522227210750721.

127057012722225 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 570 + 1 + 2 + 72 + 2 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 127057012722225 - 2⁴ = 127057012722209 is a prime.

It is a super-2 number, since 2×127057012722225² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16975737 + ... + 23287113.

It is an arithmetic number, because the mean of its divisors is an integer number (3189530608836).

Almost surely, 2^{127057012722225} is an apocalyptic number.

127057012722225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127057012722225 is a deficient number, since it is larger than the sum of its proper divisors (102589191113967).

127057012722225 is a wasteful number, since it uses less digits than its factorization.

127057012722225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312207 (or 6312199 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 127057012722225 in words is "one hundred twenty-seven trillion, fifty-seven billion, twelve million, seven hundred twenty-two thousand, two hundred twenty-five".