12038364261 has 320 divisors, whose sum is σ = 25425100800. Its totient is φ = 5486745600.

The previous prime is 12038364257. The next prime is 12038364277. The reversal of 12038364261 is 16246383021.

12038364261 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 8 + 3 + 642 + 6 + 1 = 666.

It is not a de Polignac number, because 12038364261 - 2² = 12038364257 is a prime.

It is a super-2 number, since 2×12038364261² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038364211) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 106534141 + ... + 106534253.

It is an arithmetic number, because the mean of its divisors is an integer number (79453440).

Almost surely, 2^12038364261 is an apocalyptic number.

12038364261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12038364261 is an abundant number, since it is smaller than the sum of its proper divisors (13386736539).

12038364261 is a wasteful number, since it uses less digits than its factorization.

12038364261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

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

The spelling of 12038364261 in words is "twelve billion, thirty-eight million, three hundred sixty-four thousand, two hundred sixty-one".