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12100311132 = 223713232937449
BaseRepresentation
bin10110100010011110…
…00001100001011100
31011020021212111100120
423101033001201130
5144240134424012
65320411354540
7605566643010
oct132117014134
934207774316
1012100311132
11514a345938
122418452a50
1311aab86b20
1482b090540
154ac48758c
hex2d13c185c

12100311132 has 384 divisors, whose sum is σ = 38610432000. Its totient is φ = 2861236224.

The previous prime is 12100311079. The next prime is 12100311203. The reversal of 12100311132 is 23111300121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26949244 + ... + 26949692.

It is an arithmetic number, because the mean of its divisors is an integer number (100548000).

Almost surely, 212100311132 is an apocalyptic number.

12100311132 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 12100311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216000).

12100311132 is an abundant number, since it is smaller than the sum of its proper divisors (26510120868).

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

12100311132 is a wasteful number, since it uses less digits than its factorization.

12100311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12100311132 its reverse (23111300121), we get a palindrome (35211611253).

The spelling of 12100311132 in words is "twelve billion, one hundred million, three hundred eleven thousand, one hundred thirty-two".