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12322020400 = 245273421987
BaseRepresentation
bin10110111100111001…
…10001110000110000
31011210202001111021221
423132130301300300
5200213414123100
65354411354424
7614231305504
oct133634616060
934722044257
1012322020400
115253506338
12247a752a14
131214aa2541
1484c6c4304
154c1b7e01a
hex2de731c30

12322020400 has 60 divisors (see below), whose sum is σ = 30009254632. Its totient is φ = 4861278720.

The previous prime is 12322020379. The next prime is 12322020449. The reversal of 12322020400 is 402022321.

12322020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123220204003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181794 + ... + 240193.

Almost surely, 212322020400 is an apocalyptic number.

12322020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322020400 is an abundant number, since it is smaller than the sum of its proper divisors (17687234232).

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

12322020400 is a wasteful number, since it uses less digits than its factorization.

12322020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422078 (or 422067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12322020400 its reverse (402022321), we get a palindrome (12724042721).

The spelling of 12322020400 in words is "twelve billion, three hundred twenty-two million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 421987 843974 1687948 2109935 3375896 4219870 6751792 8439740 10549675 16879480 21099350 30805051 33758960 42198700 61610102 84397400 123220204 154025255 168794800 246440408 308050510 492880816 616101020 770126275 1232202040 1540252550 2464404080 3080505100 6161010200 12322020400