9701200020032 has 56 divisors (see below), whose sum is σ = 19772184448440. Its totient is φ = 4719246520320.

The previous prime is 9701200019993. The next prime is 9701200020049. The reversal of 9701200020032 is 2300200021079.

It can be written as a sum of positive squares in 4 ways, for example, as 6995517169216 + 2705682850816 = 2644904^2 + 1644896^2 .

It is a super-2 number, since 2×9701200020032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9701200019983 and 9701200020010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47895932 + ... + 48098052.

Almost surely, 2^{9701200020032} is an apocalyptic number.

It is an amenable number.

9701200020032 is an abundant number, since it is smaller than the sum of its proper divisors (10070984428408).

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

9701200020032 is a wasteful number, since it uses less digits than its factorization.

9701200020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222439 (or 222429 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 9701200020032 in words is "nine trillion, seven hundred one billion, two hundred million, twenty thousand, thirty-two".