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1121211120120 = 2335713738231709
BaseRepresentation
bin10000010100001101011…
…000111111100111111000
310222012001010112022110020
4100110031120333213320
5121332220021320440
62215024405250440
7144001441162620
oct20241530774770
93865033468406
101121211120120
113a25594a1533
1216136b403a20
138196436ba20
143c3a4575880
151e272c023d0
hex1050d63f9f8

1121211120120 has 512 divisors, whose sum is σ = 4204124467200. Its totient is φ = 232902770688.

The previous prime is 1121211120101. The next prime is 1121211120121. The reversal of 1121211120120 is 210211121211.

It is a happy number.

It is a super-2 number, since 2×11212111201202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121211120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121211120121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 656061826 + ... + 656063534.

It is an arithmetic number, because the mean of its divisors is an integer number (8211180600).

Almost surely, 21121211120120 is an apocalyptic number.

1121211120120 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 1121211120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102062233600).

1121211120120 is an abundant number, since it is smaller than the sum of its proper divisors (3082913347080).

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

1121211120120 is a wasteful number, since it uses less digits than its factorization.

1121211120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121211120120 its reverse (210211121211), we get a palindrome (1331422241331).

The spelling of 1121211120120 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".