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12126625140 = 2235728872917
BaseRepresentation
bin10110100101100110…
…11001110101110100
31011022010101101101110
423102303121311310
5144313404001030
65323151355020
7606336420150
oct132263316564
934263341343
1012126625140
115163188a53
122425222a70
1311b346b146
14830780060
154ae9341b0
hex2d2cd9d74

12126625140 has 48 divisors (see below), whose sum is σ = 38805201792. Its totient is φ = 2771799936.

The previous prime is 12126625139. The next prime is 12126625153. The reversal of 12126625140 is 4152662121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12126625098 and 12126625107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14436039 + ... + 14436878.

It is an arithmetic number, because the mean of its divisors is an integer number (808441704).

Almost surely, 212126625140 is an apocalyptic number.

12126625140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126625140 is an abundant number, since it is smaller than the sum of its proper divisors (26678576652).

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

12126625140 is a wasteful number, since it uses less digits than its factorization.

12126625140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28872936 (or 28872934 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12126625140 in words is "twelve billion, one hundred twenty-six million, six hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 28872917 57745834 86618751 115491668 144364585 173237502 202110419 288729170 346475004 404220838 433093755 577458340 606331257 808441676 866187510 1010552095 1212662514 1732375020 2021104190 2425325028 3031656285 4042208380 6063312570 12126625140