212022134040 has 128 divisors (see below), whose sum is σ = 648372211200. Its totient is φ = 55453655040.

The previous prime is 212022134017. The next prime is 212022134057. The reversal of 212022134040 is 40431220212.

It is a super-3 number, since 3×212022134040³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212022133998 and 212022134016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579891 + ... + 1708829.

It is an arithmetic number, because the mean of its divisors is an integer number (5065407900).

Almost surely, 2^212022134040 is an apocalyptic number.

212022134040 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 212022134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324186105600).

212022134040 is an abundant number, since it is smaller than the sum of its proper divisors (436350077160).

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

212022134040 is a wasteful number, since it uses less digits than its factorization.

212022134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129217 (or 129213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212022134040 its reverse (40431220212), we get a palindrome (252453354252).

The spelling of 212022134040 in words is "two hundred twelve billion, twenty-two million, one hundred thirty-four thousand, forty".