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12412033440 = 253525858403
BaseRepresentation
bin10111000111101000…
…01001100110100000
31012001000102121222020
423203310021212200
5200404440032230
65411344541440
7616403354262
oct134364114640
935030377866
1012412033440
11529a2a6484
1224a4921880
13122a62a3b1
1485a635b32
154c9a0e810
hex2e3d099a0

12412033440 has 48 divisors (see below), whose sum is σ = 39097906848. Its totient is φ = 3309875456.

The previous prime is 12412033411. The next prime is 12412033441. The reversal of 12412033440 is 4433021421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12412033440.

It is not an unprimeable number, because it can be changed into a prime (12412033441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12928722 + ... + 12929681.

It is an arithmetic number, because the mean of its divisors is an integer number (814539726).

Almost surely, 212412033440 is an apocalyptic number.

12412033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412033440 is an abundant number, since it is smaller than the sum of its proper divisors (26685873408).

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

12412033440 is a wasteful number, since it uses less digits than its factorization.

12412033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25858421 (or 25858413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12412033440 its reverse (4433021421), we get a palindrome (16845054861).

The spelling of 12412033440 in words is "twelve billion, four hundred twelve million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25858403 51716806 77575209 103433612 129292015 155150418 206867224 258584030 310300836 387876045 413734448 517168060 620601672 775752090 827468896 1034336120 1241203344 1551504180 2068672240 2482406688 3103008360 4137344480 6206016720 12412033440