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12098212152 = 23313192389997
BaseRepresentation
bin10110100010001110…
…00001000100111000
31011020010220212002120
423101013001010320
5144234120242102
65320254401240
7605543051355
oct132107010470
934203825076
1012098212152
115149141944
122417800220
1311aa600620
1482aaa562c
154ac1c06bc
hex2d11c1138

12098212152 has 256 divisors, whose sum is σ = 36215424000. Its totient is φ = 3332026368.

The previous prime is 12098212127. The next prime is 12098212157. The reversal of 12098212152 is 25121289021.

It is a super-2 number, since 2×120982121522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12098212157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12134118 + ... + 12135114.

It is an arithmetic number, because the mean of its divisors is an integer number (141466500).

Almost surely, 212098212152 is an apocalyptic number.

12098212152 is a gapful number since it is divisible by the number (12) 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 12098212152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107712000).

12098212152 is an abundant number, since it is smaller than the sum of its proper divisors (24117211848).

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

12098212152 is a wasteful number, since it uses less digits than its factorization.

12098212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 12098212152 in words is "twelve billion, ninety-eight million, two hundred twelve thousand, one hundred fifty-two".