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12215330949120 = 2113513171799251
BaseRepresentation
bin1011000111000001101001…
…1101100100100000000000
31121020202220102020200211020
42301300122131210200000
53100113444210332440
641551351235345440
72400346200616125
oct261603235444000
947222812220736
1012215330949120
11398a54695aa92
1214534b5752280
136a7b92ca0890
14303321c3274c
15162b3727d3d0
hexb1c1a764800

12215330949120 has 384 divisors, whose sum is σ = 44561282613120. Its totient is φ = 2829975552000.

The previous prime is 12215330949097. The next prime is 12215330949127. The reversal of 12215330949120 is 2194903351221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (12215330949127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5889495 + ... + 7688745.

It is an arithmetic number, because the mean of its divisors is an integer number (116045006805).

Almost surely, 212215330949120 is an apocalyptic number.

12215330949120 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 12215330949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280641306560).

12215330949120 is an abundant number, since it is smaller than the sum of its proper divisors (32345951664000).

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

12215330949120 is a wasteful number, since it uses less digits than its factorization.

12215330949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799311 (or 1799291 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 12215330949120 in words is "twelve trillion, two hundred fifteen billion, three hundred thirty million, nine hundred forty-nine thousand, one hundred twenty".