201212133120 has 216 divisors, whose sum is σ = 714990022656. Its totient is φ = 52206280704.

The previous prime is 201212133113. The next prime is 201212133121. The reversal of 201212133120 is 21331212102.

201212133120 is a `hidden beast` number, since 20 + 121 + 213 + 312 + 0 = 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 = 201212133093 and 201212133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212133121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190209 + ... + 662271.

Almost surely, 2^201212133120 is an apocalyptic number.

201212133120 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 201212133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357495011328).

201212133120 is an abundant number, since it is smaller than the sum of its proper divisors (513777889536).

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

201212133120 is a wasteful number, since it uses less digits than its factorization.

201212133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472127 (or 472110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201212133120 its reverse (21331212102), we get a palindrome (222543345222).

The spelling of 201212133120 in words is "two hundred one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty".