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12101120200 = 23521317436367
BaseRepresentation
bin10110100010100100…
…00111000011001000
31011020100101121012001
423101102013003020
5144240341321300
65320441000344
7605606552551
oct132122070310
934210347161
1012101120200
11514a848794
1224187830b4
1311ab0ab170
1482b221328
154ac59716a
hex2d14870c8

12101120200 has 192 divisors, whose sum is σ = 32832898560. Its totient is φ = 4106833920.

The previous prime is 12101120191. The next prime is 12101120231. The reversal of 12101120200 is 202110121.

It is a super-2 number, since 2×121011202002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897417 + ... + 1903783.

It is an arithmetic number, because the mean of its divisors is an integer number (171004680).

Almost surely, 212101120200 is an apocalyptic number.

12101120200 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 12101120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416449280).

12101120200 is an abundant number, since it is smaller than the sum of its proper divisors (20731778360).

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

12101120200 is a wasteful number, since it uses less digits than its factorization.

12101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12101120200 its reverse (202110121), we get a palindrome (12303230321).

The spelling of 12101120200 in words is "twelve billion, one hundred one million, one hundred twenty thousand, two hundred".