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11980332000 = 2533537132353
BaseRepresentation
bin10110010100001010…
…10101101111100000
31010220221002220221000
423022011111233200
5144013431111000
65300444032000
7602612066430
oct131205255740
933827086830
1011980332000
11509864882a
1223a4232600
13118c069560
1481917c2c0
154a1b88000
hex2ca155be0

11980332000 has 1536 divisors, whose sum is σ = 57062154240. Its totient is φ = 2372198400.

The previous prime is 11980331999. The next prime is 11980332047. The reversal of 11980332000 is 23308911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226043974 + ... + 226044026.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 211980332000 is an apocalyptic number.

11980332000 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 11980332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531077120).

11980332000 is an abundant number, since it is smaller than the sum of its proper divisors (45081822240).

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

11980332000 is a wasteful number, since it uses less digits than its factorization.

11980332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11980332000 in words is "eleven billion, nine hundred eighty million, three hundred thirty-two thousand".