12013227072 has 896 divisors, whose sum is σ = 48034529280. Its totient is φ = 2848849920.

The previous prime is 12013227059. The next prime is 12013227073. The reversal of 12013227072 is 27072231021.

12013227072 is a `hidden beast` number, since 1 + 201 + 322 + 70 + 72 = 666.

It is a super-4 number, since 4×12013227072⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12013227073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106311688 + ... + 106311800.

Almost surely, 2^12013227072 is an apocalyptic number.

12013227072 is a gapful number since it is divisible by the number (12) 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 12013227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017264640).

12013227072 is an abundant number, since it is smaller than the sum of its proper divisors (36021302208).

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

12013227072 is a wasteful number, since it uses less digits than its factorization.

12013227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 12013227072 its reverse (27072231021), we get a palindrome (39085458093).

The spelling of 12013227072 in words is "twelve billion, thirteen million, two hundred twenty-seven thousand, seventy-two".