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12088886040 = 233357211191093
BaseRepresentation
bin10110100001000110…
…11100001100011000
31011012111101001002000
423100203130030120
5144224223323130
65315322441000
7605400556500
oct132043341430
934174331060
1012088886040
115143952010
122414663160
1311a86b670a
14829758a00
154ab47c260
hex2d08dc318

12088886040 has 768 divisors, whose sum is σ = 53877312000. Its totient is φ = 2377589760.

The previous prime is 12088886003. The next prime is 12088886057. The reversal of 12088886040 is 4068888021.

It is a happy number.

It is a super-2 number, since 2×120888860402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11059734 + ... + 11060826.

It is an arithmetic number, because the mean of its divisors is an integer number (70152750).

Almost surely, 212088886040 is an apocalyptic number.

12088886040 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 12088886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938656000).

12088886040 is an abundant number, since it is smaller than the sum of its proper divisors (41788425960).

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

12088886040 is a wasteful number, since it uses less digits than its factorization.

12088886040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 12088886040 in words is "twelve billion, eighty-eight million, eight hundred eighty-six thousand, forty".