121416257601 has 24 divisors (see below), whose sum is σ = 181054388736. Its totient is φ = 78325297920.

The previous prime is 121416257569. The next prime is 121416257639. The reversal of 121416257601 is 106752614121.

121416257601 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 6 + 2 + 5 + 7 + 601 = 666.

It is not a de Polignac number, because 121416257601 - 2⁵ = 121416257569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121416257681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459636 + ... + 4486778.

It is an arithmetic number, because the mean of its divisors is an integer number (7543932864).

Almost surely, 2^121416257601 is an apocalyptic number.

It is an amenable number.

121416257601 is a deficient number, since it is larger than the sum of its proper divisors (59638131135).

121416257601 is a wasteful number, since it uses less digits than its factorization.

121416257601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43213 (or 43210 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 121416257601 in words is "one hundred twenty-one billion, four hundred sixteen million, two hundred fifty-seven thousand, six hundred one".