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12200020000000 = 28577259211
BaseRepresentation
bin1011000110001000100111…
…0110111011110100000000
31121012022101100222220010121
42301202021312323310000
53044341120110000000
641540340052510024
72366264603655400
oct261421166736400
947168340886117
1012200020000000
113983aaa266328
12145054201b314
136a65c2bc2181
143026ac5c8800
1516253cee5b1a
hexb1889dbbd00

12200020000000 has 864 divisors, whose sum is σ = 36181102688640. Its totient is φ = 4092480000000.

The previous prime is 12200019999977. The next prime is 12200020000037. The reversal of 12200020000000 is 2000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57819999895 + ... + 57820000105.

It is an arithmetic number, because the mean of its divisors is an integer number (41876276260).

Almost surely, 212200020000000 is an apocalyptic number.

12200020000000 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 12200020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090551344320).

12200020000000 is an abundant number, since it is smaller than the sum of its proper divisors (23981082688640).

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

12200020000000 is an frugal number, since it uses more digits than its factorization.

12200020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 12200020000000 its reverse (2000221), we get a palindrome (12200022000221).

The spelling of 12200020000000 in words is "twelve trillion, two hundred billion, twenty million", and thus it is an aban number.