1601267112072 has 64 divisors (see below), whose sum is σ = 4449419145600. Its totient is φ = 533581110720.

The previous prime is 1601267112061. The next prime is 1601267112091. The reversal of 1601267112072 is 2702117621061.

1601267112072 is a `hidden beast` number, since 1 + 601 + 26 + 7 + 1 + 1 + 20 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549748 + ... + 1872099.

It is an arithmetic number, because the mean of its divisors is an integer number (69522174150).

Almost surely, 2^{1601267112072} is an apocalyptic number.

1601267112072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1601267112072 is an abundant number, since it is smaller than the sum of its proper divisors (2848152033528).

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

1601267112072 is a wasteful number, since it uses less digits than its factorization.

1601267112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424923 (or 2424913 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1601267112072 in words is "one trillion, six hundred one billion, two hundred sixty-seven million, one hundred twelve thousand, seventy-two".