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1275055916200 = 2352112733072351
BaseRepresentation
bin10010100011011111010…
…000010100010010101000
311111220010211122201000121
4102203133100110102220
5131342303303304300
62413430321213024
7161056034315113
oct22433720242250
94456124581017
101275055916200
11451825907900
12187145791174
139331133b141
14459da7d957a
15232790ea81a
hex128df4144a8

1275055916200 has 288 divisors, whose sum is σ = 3315311556480. Its totient is φ = 455621760000.

The previous prime is 1275055916161. The next prime is 1275055916231. The reversal of 1275055916200 is 26195505721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 542345025 + ... + 542347375.

It is an arithmetic number, because the mean of its divisors is an integer number (11511498460).

Almost surely, 21275055916200 is an apocalyptic number.

1275055916200 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 1275055916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657655778240).

1275055916200 is an abundant number, since it is smaller than the sum of its proper divisors (2040255640280).

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

1275055916200 is a wasteful number, since it uses less digits than its factorization.

1275055916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 1275055916200 in words is "one trillion, two hundred seventy-five billion, fifty-five million, nine hundred sixteen thousand, two hundred".