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12200388480 = 27355721601
BaseRepresentation
bin10110101110011001…
…10010011110000000
31011111021011221200000
423113030302132000
5144441244412410
65334344400000
7611223406500
oct132714623600
934437157600
1012200388480
1151a088a495
122445a76000
1311c58268a7
1483a4a1a00
154b6154dc0
hex2d7332780

12200388480 has 576 divisors, whose sum is σ = 50854592880. Its totient is φ = 2786918400.

The previous prime is 12200388401. The next prime is 12200388493. The reversal of 12200388480 is 8488300221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7619680 + ... + 7621280.

Almost surely, 212200388480 is an apocalyptic number.

12200388480 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 12200388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427296440).

12200388480 is an abundant number, since it is smaller than the sum of its proper divisors (38654204400).

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

12200388480 is an equidigital number, since it uses as much as digits as its factorization.

12200388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12200388480 in words is "twelve billion, two hundred million, three hundred eighty-eight thousand, four hundred eighty".