Search a number
-
+
12120220211022 = 23272112265742743
BaseRepresentation
bin1011000001011111010101…
…1010111001011101001110
31120220200101222121121000200
42300113311122321131032
53042034202333223042
641435541410234330
72360441232650400
oct260276532713516
946820358547020
1012120220211022
11395317a376800
121438b912859a6
1369bc163b9721
142dc89c288b70
1516041c3c3c4c
hexb05f56b974e

12120220211022 has 216 divisors, whose sum is σ = 33590869170768. Its totient is φ = 3146850685440.

The previous prime is 12120220210993. The next prime is 12120220211053. The reversal of 12120220211022 is 22011202202121.

It is a happy number.

12120220211022 is a `hidden beast` number, since 1 + 212 + 0 + 220 + 211 + 0 + 22 = 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 = 12120220210986 and 12120220211004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 283538983 + ... + 283581725.

It is an arithmetic number, because the mean of its divisors is an integer number (155513283198).

Almost surely, 212120220211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120220211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795434585384).

12120220211022 is an abundant number, since it is smaller than the sum of its proper divisors (21470648959746).

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

12120220211022 is a wasteful number, since it uses less digits than its factorization.

12120220211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45444 (or 45423 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120220211022 its reverse (22011202202121), we get a palindrome (34131422413143).

The spelling of 12120220211022 in words is "twelve trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, twenty-two".