212233542750000 has 840 divisors, whose sum is σ = 748926243308880. Its totient is φ = 56103321600000.

The previous prime is 212233542749983. The next prime is 212233542750037. The reversal of 212233542750000 is 57245332212.

212233542750000 is a `hidden beast` number, since 2 + 1 + 223 + 3 + 5 + 427 + 5 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 174390749392 + ... + 174390750608.

It is an arithmetic number, because the mean of its divisors is an integer number (891578861082).

Almost surely, 2^{212233542750000} is an apocalyptic number.

212233542750000 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 212233542750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374463121654440).

212233542750000 is an abundant number, since it is smaller than the sum of its proper divisors (536692700558880).

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

212233542750000 is a wasteful number, since it uses less digits than its factorization.

212233542750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 212233542750000 in words is "two hundred twelve trillion, two hundred thirty-three billion, five hundred forty-two million, seven hundred fifty thousand".