212601254040 has 768 divisors, whose sum is σ = 888426040320. Its totient is φ = 44610600960.

The previous prime is 212601253979. The next prime is 212601254071. The reversal of 212601254040 is 40452106212.

212601254040 is a `hidden beast` number, since 2 + 1 + 2 + 601 + 2 + 54 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212601253995 and 212601254013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47421639 + ... + 47426121.

It is an arithmetic number, because the mean of its divisors is an integer number (1156804740).

Almost surely, 2^212601254040 is an apocalyptic number.

212601254040 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 212601254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444213020160).

212601254040 is an abundant number, since it is smaller than the sum of its proper divisors (675824786280).

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

212601254040 is a wasteful number, since it uses less digits than its factorization.

212601254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 212601254040 in words is "two hundred twelve billion, six hundred one million, two hundred fifty-four thousand, forty".