212433090480 has 320 divisors, whose sum is σ = 800924154240. Its totient is φ = 51433574400.

The previous prime is 212433090461. The next prime is 212433090491. The reversal of 212433090480 is 84090334212.

212433090480 is a `hidden beast` number, since 21 + 2 + 43 + 30 + 90 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650870 + ... + 1774890.

It is an arithmetic number, because the mean of its divisors is an integer number (2502887982).

Almost surely, 2^212433090480 is an apocalyptic number.

212433090480 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 212433090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400462077120).

212433090480 is an abundant number, since it is smaller than the sum of its proper divisors (588491063760).

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

212433090480 is a wasteful number, since it uses less digits than its factorization.

212433090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124117 (or 124105 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 212433090480 in words is "two hundred twelve billion, four hundred thirty-three million, ninety thousand, four hundred eighty".