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12370021440 = 26357171941139
BaseRepresentation
bin10111000010100111…
…11000110001000000
31011221002101012100020
423201103320301000
5200313211141230
65403244253440
7615353306310
oct134123706100
934832335306
1012370021440
115278611217
122492841280
131221a0ab1a
14854c1b440
154c5eb1810
hex2e14f8c40

12370021440 has 896 divisors, whose sum is σ = 51616051200. Its totient is φ = 2441871360.

The previous prime is 12370021393. The next prime is 12370021451. The reversal of 12370021440 is 4412007321.

It is a happy number.

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 12370021440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88992891 + ... + 88993029.

It is an arithmetic number, because the mean of its divisors is an integer number (57607200).

Almost surely, 212370021440 is an apocalyptic number.

12370021440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12370021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808025600).

12370021440 is an abundant number, since it is smaller than the sum of its proper divisors (39246029760).

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

12370021440 is a wasteful number, since it uses less digits than its factorization.

12370021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 12370021440 its reverse (4412007321), we get a palindrome (16782028761).

The spelling of 12370021440 in words is "twelve billion, three hundred seventy million, twenty-one thousand, four hundred forty".