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12522128190 = 235111361109439
BaseRepresentation
bin10111010100110000…
…01000001100111110
31012022200121000120120
423222120020030332
5201121131100230
65430320355410
7622211222235
oct135230101476
935280530516
1012522128190
115346462280
122515775b66
131247396910
1486b0d3b1c
154d450a310
hex2ea60833e

12522128190 has 256 divisors, whose sum is σ = 36297676800. Its totient is φ = 2724710400.

The previous prime is 12522128183. The next prime is 12522128191. The reversal of 12522128190 is 9182122521.

It is a super-2 number, since 2×125221281902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522128191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28523991 + ... + 28524429.

It is an arithmetic number, because the mean of its divisors is an integer number (141787800).

Almost surely, 212522128190 is an apocalyptic number.

12522128190 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 12522128190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148838400).

12522128190 is an abundant number, since it is smaller than the sum of its proper divisors (23775548610).

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

12522128190 is a wasteful number, since it uses less digits than its factorization.

12522128190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

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

The spelling of 12522128190 in words is "twelve billion, five hundred twenty-two million, one hundred twenty-eight thousand, one hundred ninety".