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120001121100 = 223252722783911
BaseRepresentation
bin110111111000010011…
…1111100101101001100
3102110202002021120100200
41233300213330231030
53431230241333400
6131043332253500
711445511461630
oct1576047745514
9373662246320
10120001121100
114698a560453
121b310171290
13b4154ba743
145b45558dc0
1531c5127b00
hex1bf09fcb4c

120001121100 has 216 divisors, whose sum is σ = 431769531648. Its totient is φ = 27307670400.

The previous prime is 120001121089. The next prime is 120001121129. The reversal of 120001121100 is 1121100021.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1388145 + ... + 1472055.

Almost surely, 2120001121100 is an apocalyptic number.

120001121100 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 120001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215884765824).

120001121100 is an abundant number, since it is smaller than the sum of its proper divisors (311768410548).

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

120001121100 is a wasteful number, since it uses less digits than its factorization.

120001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84165 (or 84155 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120001121100 its reverse (1121100021), we get a palindrome (121122221121).

The spelling of 120001121100 in words is "one hundred twenty billion, one million, one hundred twenty-one thousand, one hundred".