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1203110010120 = 23351937611132069
BaseRepresentation
bin10001100000011110111…
…100011101110100001000
311021000102210201222211110
4101200132330131310020
5124202432130310440
62320411234530320
7152631121231644
oct21403674356410
94230383658743
101203110010120
11424266265797
121752071369a0
13895b6a09095
14423335a9c24
1521467c60080
hex1181ef1dd08

1203110010120 has 512 divisors, whose sum is σ = 4002975936000. Its totient is φ = 288167362560.

The previous prime is 1203110010107. The next prime is 1203110010121. The reversal of 1203110010120 is 210100113021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1203110010096 and 1203110010105.

It is not an unprimeable number, because it can be changed into a prime (1203110010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 581492446 + ... + 581494514.

It is an arithmetic number, because the mean of its divisors is an integer number (7818312375).

Almost surely, 21203110010120 is an apocalyptic number.

1203110010120 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 1203110010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001487968000).

1203110010120 is an abundant number, since it is smaller than the sum of its proper divisors (2799865925880).

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

1203110010120 is a wasteful number, since it uses less digits than its factorization.

1203110010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1203110010120 its reverse (210100113021), we get a palindrome (1413210123141).

The spelling of 1203110010120 in words is "one trillion, two hundred three billion, one hundred ten million, ten thousand, one hundred twenty".