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12120220211112 = 2333134316317739
BaseRepresentation
bin1011000001011111010101…
…1010111001011110101000
31120220200101222121121011000
42300113311122321132220
53042034202333223422
641435541410235000
72360441232650556
oct260276532713650
946820358547130
1012120220211112
11395317a376882
121438b91285a60
1369bc163b9790
142dc89c288bd6
1516041c3c3cac
hexb05f56b97a8

12120220211112 has 64 divisors (see below), whose sum is σ = 36257069016000. Its totient is φ = 3729298525632.

The previous prime is 12120220211111. The next prime is 12120220211117. The reversal of 12120220211112 is 21111202202121.

12120220211112 is a `hidden beast` number, since 1 + 2 + 120 + 220 + 211 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12120220211111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158156062 + ... + 2158161677.

It is an arithmetic number, because the mean of its divisors is an integer number (566516703375).

Almost surely, 212120220211112 is an apocalyptic number.

12120220211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120220211112 is an abundant number, since it is smaller than the sum of its proper divisors (24136848804888).

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

12120220211112 is a wasteful number, since it uses less digits than its factorization.

12120220211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316317767 (or 4316317757 counting only the distinct ones).

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

Adding to 12120220211112 its reverse (21111202202121), we get a palindrome (33231422413233).

The spelling of 12120220211112 in words is "twelve trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4316317739 8632635478 12948953217 17265270956 25897906434 34530541912 38846859651 51795812868 56112130607 77693719302 103591625736 112224261214 116540578953 155387438604 168336391821 224448522428 233081157906 310774877208 336672783642 448897044856 466162315812 505009175463 673345567284 932324631624 1010018350926 1346691134568 1515027526389 2020036701852 3030055052778 4040073403704 6060110105556 12120220211112