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1120201111120 = 2457134113128649
BaseRepresentation
bin10000010011010001001…
…100000111011001010000
310222002102202000112120111
4100103101030013121100
5121323132441023440
62214340245251104
7143634425224150
oct20232114073120
93862382015514
101120201111120
113a2090361853
12161129103a94
1381833038b70
143c30a380760
151e2141e54ea
hex104d1307650

1120201111120 has 320 divisors, whose sum is σ = 3308863219200. Its totient is φ = 343225958400.

The previous prime is 1120201111087. The next prime is 1120201111147. The reversal of 1120201111120 is 211111020211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1120201111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39086556 + ... + 39115204.

It is an arithmetic number, because the mean of its divisors is an integer number (10340197560).

Almost surely, 21120201111120 is an apocalyptic number.

1120201111120 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 1120201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654431609600).

1120201111120 is an abundant number, since it is smaller than the sum of its proper divisors (2188662108080).

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

1120201111120 is a wasteful number, since it uses less digits than its factorization.

1120201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1120201111120 its reverse (211111020211), we get a palindrome (1331312131331).

Subtracting from 1120201111120 its reverse (211111020211), we obtain a palindrome (909090090909).

It can be divided in two parts, 1120201 and 111120, that added together give a palindrome (1231321).

The spelling of 1120201111120 in words is "one trillion, one hundred twenty billion, two hundred one million, one hundred eleven thousand, one hundred twenty".