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12128921310 = 2351186342589
BaseRepresentation
bin10110100101111000…
…01010011011011110
31011022021201001010210
423102330022123132
5144320000440220
65323312513250
7606365062422
oct132274123336
934267631123
1012128921310
115164507110
122425b4b826
1311b3a9331c
14830bbab82
154aec396e0
hex2d2f0a6de

12128921310 has 64 divisors (see below), whose sum is σ = 31793264640. Its totient is φ = 2936868480.

The previous prime is 12128921297. The next prime is 12128921333. The reversal of 12128921310 is 1312982121.

It is a super-2 number, since 2×121289213102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263496 + ... + 306084.

It is an arithmetic number, because the mean of its divisors is an integer number (496769760).

Almost surely, 212128921310 is an apocalyptic number.

12128921310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128921310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896632320).

12128921310 is an abundant number, since it is smaller than the sum of its proper divisors (19664343330).

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

12128921310 is a wasteful number, since it uses less digits than its factorization.

12128921310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43473.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 12128921310 in words is "twelve billion, one hundred twenty-eight million, nine hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 863 1726 2589 4315 5178 8630 9493 12945 18986 25890 28479 42589 47465 56958 85178 94930 127767 142395 212945 255534 284790 425890 468479 638835 936958 1277670 1405437 2342395 2810874 4684790 7027185 14054370 36754307 73508614 110262921 183771535 220525842 367543070 404297377 551314605 808594754 1102629210 1212892131 2021486885 2425784262 4042973770 6064460655 12128921310