2172813312000 has 912 divisors, whose sum is σ = 7796760057216. Its totient is φ = 536346624000.

The previous prime is 2172813311993. The next prime is 2172813312001. The reversal of 2172813312000 is 2133182712.

It is a super-2 number, since 2×2172813312000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2172813312001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70090751985 + ... + 70090752015.

Almost surely, 2^{2172813312000} is an apocalyptic number.

2172813312000 is a gapful number since it is divisible by the number (20) 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 2172813312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898380028608).

2172813312000 is an abundant number, since it is smaller than the sum of its proper divisors (5623946745216).

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

2172813312000 is an frugal number, since it uses more digits than its factorization.

2172813312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 2172813312000 its reverse (2133182712), we get a palindrome (2174946494712).

The spelling of 2172813312000 in words is "two trillion, one hundred seventy-two billion, eight hundred thirteen million, three hundred twelve thousand".