212812871040 has 768 divisors, whose sum is σ = 919128038400. Its totient is φ = 44079759360.

The previous prime is 212812870997. The next prime is 212812871041. The reversal of 212812871040 is 40178218212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 212812870986 and 212812871004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212812871041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194704734 + ... + 194705826.

It is an arithmetic number, because the mean of its divisors is an integer number (1196781300).

Almost surely, 2^212812871040 is an apocalyptic number.

212812871040 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 212812871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459564019200).

212812871040 is an abundant number, since it is smaller than the sum of its proper divisors (706315167360).

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

212812871040 is a wasteful number, since it uses less digits than its factorization.

212812871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 212812871040 in words is "two hundred twelve billion, eight hundred twelve million, eight hundred seventy-one thousand, forty".