212300133120 has 432 divisors, whose sum is σ = 751800958272. Its totient is φ = 55297966080.

The previous prime is 212300133037. The next prime is 212300133127. The reversal of 212300133120 is 21331003212.

212300133120 is a `hidden beast` number, since 2 + 12 + 300 + 1 + 331 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212300133093 and 212300133102.

It is not an unprimeable number, because it can be changed into a prime (212300133127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92423812 + ... + 92426108.

It is an arithmetic number, because the mean of its divisors is an integer number (1740279996).

Almost surely, 2^212300133120 is an apocalyptic number.

212300133120 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 212300133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375900479136).

212300133120 is an abundant number, since it is smaller than the sum of its proper divisors (539500825152).

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

212300133120 is a wasteful number, since it uses less digits than its factorization.

212300133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212300133120 its reverse (21331003212), we get a palindrome (233631136332).

The spelling of 212300133120 in words is "two hundred twelve billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".