Search a number
-
+
1120021110120 = 233511191132111873
BaseRepresentation
bin10000010011000110011…
…101011101110101101000
310222001222012022112121210
4100103012131131311220
5121322300401010440
62214310335233120
7143630111232663
oct20230635356550
93861865275553
101120021110120
113a1aa87993a0
121610989787a0
13818049646b3
143c2d04c66da
151e2034dba80
hex104c675dd68

1120021110120 has 512 divisors, whose sum is σ = 3913127884800. Its totient is φ = 253609574400.

The previous prime is 1120021110113. The next prime is 1120021110193. The reversal of 1120021110120 is 210111200211.

It is a super-2 number, since 2×11200211101202 (a number of 25 digits) contains 22 as substring.

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 = 1120021110096 and 1120021110105.

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, 597981504 + ... + 597983376.

It is an arithmetic number, because the mean of its divisors is an integer number (7642827900).

Almost surely, 21120021110120 is an apocalyptic number.

1120021110120 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 1120021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956563942400).

1120021110120 is an abundant number, since it is smaller than the sum of its proper divisors (2793106774680).

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

1120021110120 is a wasteful number, since it uses less digits than its factorization.

1120021110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1120021110120 its reverse (210111200211), we get a palindrome (1330132310331).

Subtracting from 1120021110120 its reverse (210111200211), we obtain a palindrome (909909909909).

The spelling of 1120021110120 in words is "one trillion, one hundred twenty billion, twenty-one million, one hundred ten thousand, one hundred twenty".