12010406464 has 189 divisors, whose sum is σ = 29547086067. Its totient is φ = 4829061888.

The previous prime is 12010406371. The next prime is 12010406543. The reversal of 12010406464 is 46460401021.

The square root of 12010406464 is 109592.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116605837 + ... + 116605939.

Almost surely, 2^12010406464 is an apocalyptic number.

12010406464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12010406464 is the 109592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010406464

12010406464 is an abundant number, since it is smaller than the sum of its proper divisors (17536679603).

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

12010406464 is an equidigital number, since it uses as much as digits as its factorization.

12010406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12010406464 its reverse (46460401021), we get a palindrome (58470807485).

The spelling of 12010406464 in words is "twelve billion, ten million, four hundred six thousand, four hundred sixty-four".