212074268000 has 192 divisors, whose sum is σ = 597408110208. Its totient is φ = 72478771200.

The previous prime is 212074267987. The next prime is 212074268017. The reversal of 212074268000 is 862470212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8864054 + ... + 8887946.

It is an arithmetic number, because the mean of its divisors is an integer number (3111500574).

Almost surely, 2^212074268000 is an apocalyptic number.

212074268000 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 212074268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298704055104).

212074268000 is an abundant number, since it is smaller than the sum of its proper divisors (385333842208).

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

212074268000 is a wasteful number, since it uses less digits than its factorization.

212074268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24242 (or 24224 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 212074268000 in words is "two hundred twelve billion, seventy-four million, two hundred sixty-eight thousand".