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12351400404 = 2237250341761
BaseRepresentation
bin10111000000011001…
…10110100111010100
31011212210100011002020
423200030312213110
5200243424303104
65401341213140
7615036112500
oct134014664724
934783304066
1012351400404
115269052a32
1224885611b0
13121abbb265
14852571300
154c45342d9
hex2e03369d4

12351400404 has 72 divisors (see below), whose sum is σ = 33592684608. Its totient is φ = 3521871360.

The previous prime is 12351400387. The next prime is 12351400409. The reversal of 12351400404 is 40400415321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351400409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274884 + ... + 316644.

It is an arithmetic number, because the mean of its divisors is an integer number (466565064).

Almost surely, 212351400404 is an apocalyptic number.

12351400404 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 12351400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796342304).

12351400404 is an abundant number, since it is smaller than the sum of its proper divisors (21241284204).

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

12351400404 is a wasteful number, since it uses less digits than its factorization.

12351400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42285 (or 42276 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12351400404 its reverse (40400415321), we get a palindrome (52751815725).

The spelling of 12351400404 in words is "twelve billion, three hundred fifty-one million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 503 588 1006 1509 2012 3018 3521 6036 7042 10563 14084 21126 24647 41761 42252 49294 73941 83522 98588 125283 147882 167044 250566 292327 295764 501132 584654 876981 1169308 1753962 2046289 3507924 4092578 6138867 8185156 12277734 21005783 24555468 42011566 63017349 84023132 126034698 147040481 252069396 294080962 441121443 588161924 882242886 1029283367 1764485772 2058566734 3087850101 4117133468 6175700202 12351400404