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12988404639420 = 22357192316189509
BaseRepresentation
bin1011110100000001100100…
…1111101010011010111100
31200222200100020210011212020
42331000121033222122330
53200300223041430140
643342442443440140
72510244526561410
oct275003117523274
950880306704766
1012988404639420
1141583958a2771
1215592a6526050
13732a555cab02
1432c8dc058d40
15177cd16e46d0
hexbd0193ea6bc

12988404639420 has 1152 divisors, whose sum is σ = 46631415398400. Its totient is φ = 2641899110400.

The previous prime is 12988404639319. The next prime is 12988404639461. The reversal of 12988404639420 is 2493640488921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25517494126 + ... + 25517494634.

It is an arithmetic number, because the mean of its divisors is an integer number (40478659200).

Almost surely, 212988404639420 is an apocalyptic number.

12988404639420 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 12988404639420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315707699200).

12988404639420 is an abundant number, since it is smaller than the sum of its proper divisors (33643010758980).

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

12988404639420 is a wasteful number, since it uses less digits than its factorization.

12988404639420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 12988404639420 in words is "twelve trillion, nine hundred eighty-eight billion, four hundred four million, six hundred thirty-nine thousand, four hundred twenty".