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1110001320120 = 23357111311516073
BaseRepresentation
bin10000001001110001001…
…111000000000010111000
310221010002220022110201110
4100021301033000002320
5121141240314220440
62205532204320320
7143123603355150
oct20116117000270
93833086273643
101110001320120
11398826897910
1215b1612430a0
1380898b38584
143ba1d891760
151dd18a20080
hex102713c00b8

1110001320120 has 512 divisors, whose sum is σ = 4211783516160. Its totient is φ = 227335680000.

The previous prime is 1110001320101. The next prime is 1110001320137. The reversal of 1110001320120 is 210231000111.

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 = 1110001320096 and 1110001320105.

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, 182773404 + ... + 182779476.

It is an arithmetic number, because the mean of its divisors is an integer number (8226139680).

Almost surely, 21110001320120 is an apocalyptic number.

1110001320120 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 1110001320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105891758080).

1110001320120 is an abundant number, since it is smaller than the sum of its proper divisors (3101782196040).

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

1110001320120 is a wasteful number, since it uses less digits than its factorization.

1110001320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6383 counting only the distinct ones).

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

Adding to 1110001320120 its reverse (210231000111), we get a palindrome (1320232320231).

The spelling of 1110001320120 in words is "one trillion, one hundred ten billion, one million, three hundred twenty thousand, one hundred twenty".