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12121542032 = 242928392311
BaseRepresentation
bin10110100101000000…
…00000110110010000
31011021202211010200012
423102200000312100
5144311103321112
65322450414052
7606245256455
oct132240006620
934252733605
1012121542032
115160326a36
122423591328
1311b23ab5a2
1482dc1982c
154ae27d022
hex2d2800d90

12121542032 has 40 divisors (see below), whose sum is σ = 24381445440. Its totient is φ = 5831038080.

The previous prime is 12121542031. The next prime is 12121542049. The reversal of 12121542032 is 23024512121.

It is a junction number, because it is equal to n+sod(n) for n = 12121541989 and 12121542007.

It is not an unprimeable number, because it can be changed into a prime (12121542031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85157 + ... + 177467.

It is an arithmetic number, because the mean of its divisors is an integer number (609536136).

Almost surely, 212121542032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190722720).

12121542032 is an abundant number, since it is smaller than the sum of its proper divisors (12259903408).

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

12121542032 is a wasteful number, since it uses less digits than its factorization.

12121542032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92631 (or 92625 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 12121542032 in words is "twelve billion, one hundred twenty-one million, five hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 283 464 566 1132 2264 4528 8207 16414 32828 65656 92311 131312 184622 369244 738488 1476976 2677019 5354038 10708076 21416152 26124013 42832304 52248026 104496052 208992104 417984208 757596377 1515192754 3030385508 6060771016 12121542032