212133031440 has 320 divisors, whose sum is σ = 750289692672. Its totient is φ = 49078374400.

The previous prime is 212133031427. The next prime is 212133031441. The reversal of 212133031440 is 44130331212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212133031440.

It is not an unprimeable number, because it can be changed into a prime (212133031441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28352500 + ... + 28359980.

Almost surely, 2^212133031440 is an apocalyptic number.

212133031440 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 212133031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375144846336).

212133031440 is an abundant number, since it is smaller than the sum of its proper divisors (538156661232).

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

212133031440 is a wasteful number, since it uses less digits than its factorization.

212133031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212133031440 its reverse (44130331212), we get a palindrome (256263362652).

The spelling of 212133031440 in words is "two hundred twelve billion, one hundred thirty-three million, thirty-one thousand, four hundred forty".