12420146262888 has 1728 divisors, whose sum is σ = 47224253905920. Its totient is φ = 3026332108800.

The previous prime is 12420146262863. The next prime is 12420146262947. The reversal of 12420146262888 is 88826264102421.

12420146262888 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 0 + 1 + 4 + 6 + 2 + 628 + 8 + 8 = 666.

It is a super-2 number, since 2×12420146262888² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23839052068 + ... + 23839052588.

It is an arithmetic number, because the mean of its divisors is an integer number (27328850640).

Almost surely, 2^{12420146262888} is an apocalyptic number.

12420146262888 is a gapful number since it is divisible by the number (18) 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 12420146262888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612126952960).

12420146262888 is an abundant number, since it is smaller than the sum of its proper divisors (34804107643032).

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

12420146262888 is a wasteful number, since it uses less digits than its factorization.

12420146262888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 12420146262888 in words is "twelve trillion, four hundred twenty billion, one hundred forty-six million, two hundred sixty-two thousand, eight hundred eighty-eight".