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12221530400 = 255215276913
BaseRepresentation
bin10110110000111010…
…11100000100100000
31011112201222001221002
423120131130010200
5200012202433100
65340421451132
7611601202652
oct133035340440
934481861832
1012221530400
11520180a752
122450b70aa8
1311ca0199c1
1483d2066d2
154b7e2e2d5
hex2d875c120

12221530400 has 36 divisors (see below), whose sum is σ = 29835813042. Its totient is φ = 4888611840.

The previous prime is 12221530393. The next prime is 12221530457. The reversal of 12221530400 is 403512221.

It can be written as a sum of positive squares in 3 ways, for example, as 5703874576 + 6517655824 = 75524^2 + 80732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7637657 + ... + 7639256.

Almost surely, 212221530400 is an apocalyptic number.

12221530400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221530400 is an abundant number, since it is smaller than the sum of its proper divisors (17614282642).

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

12221530400 is a wasteful number, since it uses less digits than its factorization.

12221530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15276933 (or 15276920 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 12221530400 in words is "twelve billion, two hundred twenty-one million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15276913 30553826 61107652 76384565 122215304 152769130 244430608 305538260 381922825 488861216 611076520 763845650 1222153040 1527691300 2444306080 3055382600 6110765200 12221530400