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12197968000 = 2753762373
BaseRepresentation
bin10110101110000111…
…00011100010000000
31011111002121222101121
423113003203202000
5144440134434000
65334220442024
7611164005631
oct132703434200
934432558347
1012197968000
11519a486999
1224450a9314
1311c5189c5a
1483a031888
154b5d27b1a
hex2d70e3880

12197968000 has 64 divisors (see below), whose sum is σ = 30327237720. Its totient is φ = 4879180800.

The previous prime is 12197967983. The next prime is 12197968001. The reversal of 12197968000 is 86979121.

It can be written as a sum of positive squares in 4 ways, for example, as 2161134144 + 10036833856 = 46488^2 + 100184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12197968001) 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, 365187 + ... + 397186.

Almost surely, 212197968000 is an apocalyptic number.

12197968000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12197968000 is an abundant number, since it is smaller than the sum of its proper divisors (18129269720).

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

12197968000 is an frugal number, since it uses more digits than its factorization.

12197968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762402 (or 762380 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 12197968000 in words is "twelve billion, one hundred ninety-seven million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 762373 1524746 3049492 3811865 6098984 7623730 12197968 15247460 19059325 24395936 30494920 38118650 48791872 60989840 76237300 95296625 97583744 121979680 152474600 190593250 243959360 304949200 381186500 487918720 609898400 762373000 1219796800 1524746000 2439593600 3049492000 6098984000 12197968000