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12110553000 = 2334537133153
BaseRepresentation
bin10110100011101100…
…00101111110101000
31011021000010211120000
423101312011332220
5144300300144000
65321415103000
7606053000460
oct132166057650
934230124500
1012110553000
115155100797
12241b971a60
1311b00317c0
1482c598ba0
154ad30c000
hex2d1d85fa8

12110553000 has 1280 divisors, whose sum is σ = 54797783040. Its totient is φ = 2426112000.

The previous prime is 12110552977. The next prime is 12110553001. The reversal of 12110553000 is 35501121.

12110553000 is a `hidden beast` number, since 1 + 2 + 110 + 553 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12110553001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 228500974 + ... + 228501026.

It is an arithmetic number, because the mean of its divisors is an integer number (42810768).

Almost surely, 212110553000 is an apocalyptic number.

12110553000 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 12110553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398891520).

12110553000 is an abundant number, since it is smaller than the sum of its proper divisors (42687230040).

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

12110553000 is a wasteful number, since it uses less digits than its factorization.

12110553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 12110553000 in words is "twelve billion, one hundred ten million, five hundred fifty-three thousand".