212913738000 has 320 divisors, whose sum is σ = 781314992640. Its totient is φ = 55391616000.

The previous prime is 212913737977. The next prime is 212913738001. The reversal of 212913738000 is 837319212.

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

It is not an unprimeable number, because it can be changed into a prime (212913738001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2165917 + ... + 2262083.

It is an arithmetic number, because the mean of its divisors is an integer number (2441609352).

Almost surely, 2^212913738000 is an apocalyptic number.

212913738000 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 212913738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390657496320).

212913738000 is an abundant number, since it is smaller than the sum of its proper divisors (568401254640).

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

212913738000 is a wasteful number, since it uses less digits than its factorization.

212913738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96240 (or 96218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 212913738000 in words is "two hundred twelve billion, nine hundred thirteen million, seven hundred thirty-eight thousand".