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12212190720 = 293351719547
BaseRepresentation
bin10110101111110011…
…10011111000000000
31011112002101120022000
423113321303320000
5200002310100340
65335445344000
7611425623402
oct132771637000
934462346260
1012212190720
1151a7510704
122449a08000
1311c80c9872
1483bc94b72
154b71d6d30
hex2d7e73e00

12212190720 has 640 divisors, whose sum is σ = 48436185600. Its totient is φ = 2898395136.

The previous prime is 12212190709. The next prime is 12212190763. The reversal of 12212190720 is 2709121221.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22325487 + ... + 22326033.

It is an arithmetic number, because the mean of its divisors is an integer number (75681540).

Almost surely, 212212190720 is an apocalyptic number.

12212190720 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 12212190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218092800).

12212190720 is an abundant number, since it is smaller than the sum of its proper divisors (36223994880).

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

12212190720 is a wasteful number, since it uses less digits than its factorization.

12212190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12212190720 in words is "twelve billion, two hundred twelve million, one hundred ninety thousand, seven hundred twenty".