16971229229200 has 120 divisors (see below), whose sum is σ = 41643671277312. Its totient is φ = 6643613045760.

The previous prime is 16971229229161. The next prime is 16971229229281. The reversal of 16971229229200 is 292292217961.

It is a super-2 number, since 2×16971229229200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541555932 + ... + 541587268.

Almost surely, 2^{16971229229200} is an apocalyptic number.

16971229229200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16971229229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821835638656).

16971229229200 is an abundant number, since it is smaller than the sum of its proper divisors (24672442048112).

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

16971229229200 is a wasteful number, since it uses less digits than its factorization.

16971229229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60209 (or 60198 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 16971229229200 in words is "sixteen trillion, nine hundred seventy-one billion, two hundred twenty-nine million, two hundred twenty-nine thousand, two hundred".