212540412287970 has 768 divisors, whose sum is σ = 658591518154752. Its totient is φ = 47057196810240.

The previous prime is 212540412287893. The next prime is 212540412288007. The reversal of 212540412287970 is 79782214045212.

212540412287970 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 404 + 1 + 228 + 7 + 9 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29127091362 + ... + 29127098658.

It is an arithmetic number, because the mean of its divisors is an integer number (857541039264).

Almost surely, 2^{212540412287970} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212540412287970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329295759077376).

212540412287970 is an abundant number, since it is smaller than the sum of its proper divisors (446051105866782).

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

212540412287970 is a wasteful number, since it uses less digits than its factorization.

212540412287970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 212540412287970 in words is "two hundred twelve trillion, five hundred forty billion, four hundred twelve million, two hundred eighty-seven thousand, nine hundred seventy".