12002222100258 has 96 divisors (see below), whose sum is σ = 28912809358080. Its totient is φ = 3688935082560.

The previous prime is 12002222100137. The next prime is 12002222100259. The reversal of 12002222100258 is 85200122220021.

12002222100258 is a `hidden beast` number, since 1 + 200 + 222 + 210 + 0 + 25 + 8 = 666.

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 (12002222100259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7591960 + ... + 9035612.

It is an arithmetic number, because the mean of its divisors is an integer number (301175097480).

Almost surely, 2^{12002222100258} is an apocalyptic number.

12002222100258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002222100258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456404679040).

12002222100258 is an abundant number, since it is smaller than the sum of its proper divisors (16910587257822).

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

12002222100258 is a wasteful number, since it uses less digits than its factorization.

12002222100258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444601 (or 1444582 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12002222100258 its reverse (85200122220021), we get a palindrome (97202344320279).

The spelling of 12002222100258 in words is "twelve trillion, two billion, two hundred twenty-two million, one hundred thousand, two hundred fifty-eight".