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12118118400 = 2123552487
BaseRepresentation
bin10110100100100101…
…11101000000000000
31011021112101012100000
423102102331000000
5144304214242100
65322245200000
7606204210153
oct132222750000
934245335300
1012118118400
1151593a8793
122422400000
1311b178017b
1482d5a7c9a
154add03900
hex2d24bd000

12118118400 has 468 divisors, whose sum is σ = 45104495072. Its totient is φ = 3224862720.

The previous prime is 12118118387. The next prime is 12118118417. The reversal of 12118118400 is 481181121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 24882957 + ... + 24883443.

Almost surely, 212118118400 is an apocalyptic number.

12118118400 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 12118118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22552247536).

12118118400 is an abundant number, since it is smaller than the sum of its proper divisors (32986376672).

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

12118118400 is an frugal number, since it uses more digits than its factorization.

12118118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

Adding to 12118118400 its reverse (481181121), we get a palindrome (12599299521).

The spelling of 12118118400 in words is "twelve billion, one hundred eighteen million, one hundred eighteen thousand, four hundred".