12010021302400 has 288 divisors, whose sum is σ = 33735380055300. Its totient is φ = 4216680652800.

The previous prime is 12010021302379. The next prime is 12010021302421. The reversal of 12010021302400 is 420312001021.

It is an interprime number because it is at equal distance from previous prime (12010021302379) and next prime (12010021302421).

It can be written as a sum of positive squares in 6 ways, for example, as 3062696003136 + 8947325299264 = 1750056^2 + 2991208^2 .

It is a super-2 number, since 2×12010021302400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10694014 + ... + 11763586.

Almost surely, 2^{12010021302400} is an apocalyptic number.

12010021302400 is a gapful number since it is divisible by the number (10) 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 12010021302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867690027650).

12010021302400 is an abundant number, since it is smaller than the sum of its proper divisors (21725358752900).

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

12010021302400 is a wasteful number, since it uses less digits than its factorization.

12010021302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069648 (or 1069620 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12010021302400 its reverse (420312001021), we get a palindrome (12430333303421).

The spelling of 12010021302400 in words is "twelve trillion, ten billion, twenty-one million, three hundred two thousand, four hundred".