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12121112022120 = 23325731014566629
BaseRepresentation
bin1011000001100010101010…
…0100111000110001101000
31120220202201010201021212100
42300120222210320301220
53042043014134201440
641440210105013400
72360502312141633
oct260305244706150
946822633637770
1012121112022120
113953597815672
12143919ba84260
1369c0290a69ba
142dc9448b2c1a
15160470834230
hexb062a938c68

12121112022120 has 192 divisors, whose sum is σ = 40328640190800. Its totient is φ = 3156453273600.

The previous prime is 12121112022077. The next prime is 12121112022133. The reversal of 12121112022120 is 2122021112121.

12121112022120 is a `hidden beast` number, since 121 + 211 + 120 + 2 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10937294036964 + 1183817985156 = 3307158^2 + 1088034^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121112022093 and 12121112022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370966 + ... + 4937594.

Almost surely, 212121112022120 is an apocalyptic number.

12121112022120 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 12121112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20164320095400).

12121112022120 is an abundant number, since it is smaller than the sum of its proper divisors (28207528168680).

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

12121112022120 is a wasteful number, since it uses less digits than its factorization.

12121112022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566820 (or 4566813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121112022120 its reverse (2122021112121), we get a palindrome (14243133134241).

Subtracting from 12121112022120 its reverse (2122021112121), we obtain a palindrome (9999090909999).

The spelling of 12121112022120 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred twenty".