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12287127552 = 21237211677
BaseRepresentation
bin10110111000101111…
…01011000000000000
31011201022101202022020
423130113223000000
5200131001040202
65351123441440
7613325601210
oct133427530000
934638352266
1012287127552
115235843877
12246ab26280
13120a7a649b
14847c00240
154bda8a5bc
hex2dc5eb000

12287127552 has 208 divisors, whose sum is σ = 37674930432. Its totient is φ = 3488808960.

The previous prime is 12287127527. The next prime is 12287127583. The reversal of 12287127552 is 25572178221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18149038 + ... + 18149714.

Almost surely, 212287127552 is an apocalyptic number.

12287127552 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 12287127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837465216).

12287127552 is an abundant number, since it is smaller than the sum of its proper divisors (25387802880).

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

12287127552 is an equidigital number, since it uses as much as digits as its factorization.

12287127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its digits is 156800, while the sum is 42.

The spelling of 12287127552 in words is "twelve billion, two hundred eighty-seven million, one hundred twenty-seven thousand, five hundred fifty-two".