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12111111000 = 2332533183523
BaseRepresentation
bin10110100011110000…
…01110001101011000
31011021001012011222200
423101320032031120
5144300421023000
65321435050200
7606060513342
oct132170161530
934231164880
1012111111000
115155451a4a
12241bba0960
1311b0198791
1482c6a2292
154ad3bc500
hex2d1e0e358

12111111000 has 384 divisors, whose sum is σ = 42846935040. Its totient is φ = 3081888000.

The previous prime is 12111110933. The next prime is 12111111029. The reversal of 12111111000 is 11111121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23156739 + ... + 23157261.

It is an arithmetic number, because the mean of its divisors is an integer number (111580560).

Almost surely, 212111111000 is an apocalyptic number.

12111111000 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 12111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21423467520).

12111111000 is an abundant number, since it is smaller than the sum of its proper divisors (30735824040).

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

12111111000 is a wasteful number, since it uses less digits than its factorization.

12111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12111111000 its reverse (11111121), we get a palindrome (12122222121).

The spelling of 12111111000 in words is "twelve billion, one hundred eleven million, one hundred eleven thousand".