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1100120010120 = 23355241469631
BaseRepresentation
bin10000000000100100010…
…000110010110110001000
310220011121020212220200000
4100000210100302312020
5121011021210310440
62201215501443000
7142323666540165
oct20004420626610
93804536786600
101100120010120
1139461607a40a
12159263b70460
137c982906991
143b3633c706c
151d93b2a9730
hex10024432d88

1100120010120 has 192 divisors, whose sum is σ = 3723204925440. Its totient is φ = 292147430400.

The previous prime is 1100120010113. The next prime is 1100120010149. The reversal of 1100120010120 is 210100210011.

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 47 ways as a sum of consecutive naturals, for example, 2107705 + ... + 2577335.

It is an arithmetic number, because the mean of its divisors is an integer number (19391692320).

Almost surely, 21100120010120 is an apocalyptic number.

1100120010120 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 1100120010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861602462720).

1100120010120 is an abundant number, since it is smaller than the sum of its proper divisors (2623084915320).

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

1100120010120 is a wasteful number, since it uses less digits than its factorization.

1100120010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469898 (or 469882 counting only the distinct ones).

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

Adding to 1100120010120 its reverse (210100210011), we get a palindrome (1310220220131).

The spelling of 1100120010120 in words is "one trillion, one hundred billion, one hundred twenty million, ten thousand, one hundred twenty".