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1111000020120 = 23325171063170777
BaseRepresentation
bin10000001010101100110…
…000101111010010011000
310221012200111112200120100
4100022230300233102120
5121200312001120440
62210215242055400
7143160421233024
oct20125460572230
93835614480510
101111000020120
11399199602a11
1215b39b7aa560
13809c7a0bb13
143bab6381384
151dd76546230
hex102acc2f498

1111000020120 has 192 divisors, whose sum is σ = 3826766099520. Its totient is φ = 278575276032.

The previous prime is 1111000020107. The next prime is 1111000020121. The reversal of 1111000020120 is 210200001111.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111000020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6420172 + ... + 6590948.

It is an arithmetic number, because the mean of its divisors is an integer number (19931073435).

Almost surely, 21111000020120 is an apocalyptic number.

1111000020120 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 1111000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913383049760).

1111000020120 is an abundant number, since it is smaller than the sum of its proper divisors (2715766079400).

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

1111000020120 is a wasteful number, since it uses less digits than its factorization.

1111000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171874 (or 171867 counting only the distinct ones).

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

Adding to 1111000020120 its reverse (210200001111), we get a palindrome (1321200021231).

The spelling of 1111000020120 in words is "one trillion, one hundred eleven billion, twenty thousand, one hundred twenty".