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12195388992 = 2632341193349
BaseRepresentation
bin10110101101110011…
…01101111001000000
31011110220202221122210
423112321231321000
5144434004421432
65334045302120
7611133044643
oct132671557100
934426687583
1012195388992
115198a85286
122444264940
1311c4796107
1483995da5a
154b59b88cc
hex2d6e6de40

12195388992 has 224 divisors, whose sum is σ = 34769145600. Its totient is φ = 3763077120.

The previous prime is 12195388903. The next prime is 12195389083. The reversal of 12195388992 is 29988359121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34943634 + ... + 34943982.

It is an arithmetic number, because the mean of its divisors is an integer number (155219400).

Almost surely, 212195388992 is an apocalyptic number.

12195388992 is a gapful number since it is divisible by the number (12) 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 12195388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384572800).

12195388992 is an abundant number, since it is smaller than the sum of its proper divisors (22573756608).

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

12195388992 is a wasteful number, since it uses less digits than its factorization.

12195388992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 57.

The spelling of 12195388992 in words is "twelve billion, one hundred ninety-five million, three hundred eighty-eight thousand, nine hundred ninety-two".