12302102201004 has 576 divisors, whose sum is σ = 42138910679040. Its totient is φ = 3033893491200.

The previous prime is 12302102200961. The next prime is 12302102201171. The reversal of 12302102201004 is 40010220120321.

It is a happy number.

12302102201004 is a `hidden beast` number, since 1 + 230 + 210 + 220 + 1 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×12302102201004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150254142 + ... + 150335994.

It is an arithmetic number, because the mean of its divisors is an integer number (73157831040).

Almost surely, 2^{12302102201004} is an apocalyptic number.

12302102201004 is a gapful number since it is divisible by the number (14) 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 12302102201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21069455339520).

12302102201004 is an abundant number, since it is smaller than the sum of its proper divisors (29836808478036).

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

12302102201004 is a wasteful number, since it uses less digits than its factorization.

12302102201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81979 (or 81960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12302102201004 its reverse (40010220120321), we get a palindrome (52312322321325).

The spelling of 12302102201004 in words is "twelve trillion, three hundred two billion, one hundred two million, two hundred one thousand, four".