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12056406240 = 253525117513
BaseRepresentation
bin10110011101001111…
…00010100011100000
31011010020020220011110
423032213202203200
5144142414444430
65312202343320
7604524522264
oct131647424340
934106226143
1012056406240
1151275884aa
1224057bab40
1311a1a53ab8
148253020a4
154a86b37b0
hex2ce9e28e0

12056406240 has 48 divisors (see below), whose sum is σ = 37977681168. Its totient is φ = 3215041536.

The previous prime is 12056406233. The next prime is 12056406277. The reversal of 12056406240 is 4260465021.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 12056406198 and 12056406207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12558277 + ... + 12559236.

It is an arithmetic number, because the mean of its divisors is an integer number (791201691).

Almost surely, 212056406240 is an apocalyptic number.

12056406240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12056406240 is an abundant number, since it is smaller than the sum of its proper divisors (25921274928).

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

12056406240 is a wasteful number, since it uses less digits than its factorization.

12056406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25117531 (or 25117523 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12056406240 in words is "twelve billion, fifty-six million, four hundred six thousand, two 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 25117513 50235026 75352539 100470052 125587565 150705078 200940104 251175130 301410156 376762695 401880208 502350260 602820312 753525390 803760416 1004700520 1205640624 1507050780 2009401040 2411281248 3014101560 4018802080 6028203120 12056406240