212405742752 has 288 divisors, whose sum is σ = 527164485120. Its totient is φ = 82447073280.

The previous prime is 212405742733. The next prime is 212405742767. The reversal of 212405742752 is 257247504212.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209679398 + ... + 209680410.

It is an arithmetic number, because the mean of its divisors is an integer number (1830432240).

Almost surely, 2^212405742752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212405742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263582242560).

212405742752 is an abundant number, since it is smaller than the sum of its proper divisors (314758742368).

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

212405742752 is a wasteful number, since it uses less digits than its factorization.

212405742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 41.

The spelling of 212405742752 in words is "two hundred twelve billion, four hundred five million, seven hundred forty-two thousand, seven hundred fifty-two".