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12210549120 = 2734572111923
BaseRepresentation
bin10110101111100111…
…00011000110000000
31011111222022011110000
423113303203012000
5200001400032440
65335350240000
7611405645400
oct132763430600
934458264400
1012210549120
1151a659a310
122449356000
1311c79735c3
1483b988800
154b6eb0730
hex2d7ce3180

12210549120 has 1920 divisors, whose sum is σ = 60781881600. Its totient is φ = 2299207680.

The previous prime is 12210549089. The next prime is 12210549133. The reversal of 12210549120 is 2194501221.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 530893429 + ... + 530893451.

It is an arithmetic number, because the mean of its divisors is an integer number (31657230).

Almost surely, 212210549120 is an apocalyptic number.

12210549120 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 12210549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390940800).

12210549120 is an abundant number, since it is smaller than the sum of its proper divisors (48571332480).

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

12210549120 is a wasteful number, since it uses less digits than its factorization.

12210549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12210549120 in words is "twelve billion, two hundred ten million, five hundred forty-nine thousand, one hundred twenty".