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12123401200 = 2452231317761
BaseRepresentation
bin10110100101001110…
…00110101111110000
31011021220022120222021
423102213012233300
5144312042314300
65322554321224
7606300132001
oct132247065760
934256276867
1012123401200
115161386839
122424129214
1311b28ac8a1
148301811a8
154ae4e8d1a
hex2d29c6bf0

12123401200 has 60 divisors (see below), whose sum is σ = 30392862768. Its totient is φ = 4638515200.

The previous prime is 12123401113. The next prime is 12123401201. The reversal of 12123401200 is 210432121.

It is a super-2 number, since 2×121234012002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123401201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649681 + ... + 668080.

Almost surely, 212123401200 is an apocalyptic number.

12123401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123401200 is an abundant number, since it is smaller than the sum of its proper divisors (18269461568).

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

12123401200 is a wasteful number, since it uses less digits than its factorization.

12123401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317802 (or 1317791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12123401200 its reverse (210432121), we get a palindrome (12333833321).

The spelling of 12123401200 in words is "twelve billion, one hundred twenty-three million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 1317761 2635522 5271044 6588805 10542088 13177610 21084176 26355220 30308503 32944025 52710440 60617006 65888050 105420880 121234012 131776100 151542515 242468024 263552200 303085030 484936048 527104400 606170060 757712575 1212340120 1515425150 2424680240 3030850300 6061700600 12123401200