1221415144001 has 16 divisors (see below), whose sum is σ = 1393419316800. Its totient is φ = 1061316779328.

The previous prime is 1221415143961. The next prime is 1221415144073. The reversal of 1221415144001 is 1004415141221.

It is a happy number.

It is not a de Polignac number, because 1221415144001 - 2²² = 1221410949697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221415144091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15709631 + ... + 15787188.

It is an arithmetic number, because the mean of its divisors is an integer number (87088707300).

Almost surely, 2^{1221415144001} is an apocalyptic number.

It is an amenable number.

1221415144001 is a deficient number, since it is larger than the sum of its proper divisors (172004172799).

1221415144001 is a wasteful number, since it uses less digits than its factorization.

1221415144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31497008.

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 1221415144001 in words is "one trillion, two hundred twenty-one billion, four hundred fifteen million, one hundred forty-four thousand, one".