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12021121122120 = 23325118273670661
BaseRepresentation
bin1010111011101110001010…
…1001110111111101001000
31120120012121121012021110200
42232323202221313331020
53033423224001401440
641322232105012200
72350332405414015
oct256734251677510
946505547167420
1012021121122120
113915146535530
121421935184060
13692782432296
142d7b7ab4070c
1515ca6c2e5c30
hexaeee2a77f48

12021121122120 has 192 divisors, whose sum is σ = 42671886229440. Its totient is φ = 2910686553600.

The previous prime is 12021121122083. The next prime is 12021121122161. The reversal of 12021121122120 is 2122112112021.

12021121122120 is a `hidden beast` number, since 1 + 2 + 0 + 211 + 211 + 221 + 20 = 666.

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 = 12021121122093 and 12021121122102.

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, 1439590 + ... + 5110250.

It is an arithmetic number, because the mean of its divisors is an integer number (222249407445).

Almost surely, 212021121122120 is an apocalyptic number.

12021121122120 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 12021121122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21335943114720).

12021121122120 is an abundant number, since it is smaller than the sum of its proper divisors (30650765107320).

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

12021121122120 is a wasteful number, since it uses less digits than its factorization.

12021121122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671516 (or 3671509 counting only the distinct ones).

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

Adding to 12021121122120 its reverse (2122112112021), we get a palindrome (14143233234141).

It can be divided in two parts, 1202112 and 1122120, that added together give a palindrome (2324232).

The spelling of 12021121122120 in words is "twelve trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".