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1211211121120 = 2557111344916843
BaseRepresentation
bin10001101000000001110…
…011110000000111100000
311021210100101102001221121
4101220001303300013200
5124321030021333440
62324231145502024
7153335640442240
oct21500163600740
94253311361847
101211211121120
11427743113350
121768a81a1914
138a2a81915a0
14428a1473b20
152178e07e34a
hex11a01cf01e0

1211211121120 has 384 divisors, whose sum is σ = 3850780953600. Its totient is φ = 347683553280.

The previous prime is 1211211121091. The next prime is 1211211121157. The reversal of 1211211121120 is 211211121121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1211211121094 and 1211211121103.

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, 71903419 + ... + 71920261.

It is an arithmetic number, because the mean of its divisors is an integer number (10028075400).

Almost surely, 21211211121120 is an apocalyptic number.

1211211121120 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 1211211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925390476800).

1211211121120 is an abundant number, since it is smaller than the sum of its proper divisors (2639569832480).

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

1211211121120 is a wasteful number, since it uses less digits than its factorization.

1211211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 17330 counting only the distinct ones).

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

Adding to 1211211121120 its reverse (211211121121), we get a palindrome (1422422242241).

Subtracting from 1211211121120 its reverse (211211121121), we obtain a palindrome (999999999999).

It can be divided in two parts, 1211211 and 121120, that added together give a palindrome (1332331).

The spelling of 1211211121120 in words is "one trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".