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12112222022032 = 2411235431550939
BaseRepresentation
bin1011000001000001100010…
…1100001110100110010000
31120212220202120121111100211
42300100120230032212100
53041421312314201112
641432140013253504
72360036103322216
oct260203054164620
946786676544324
1012112222022032
11394a845625a60
12143751a794294
1369b24035ba12
142dc33dd32cb6
151601001350a7
hexb0418b0e990

12112222022032 has 80 divisors (see below), whose sum is σ = 26718879882240. Its totient is φ = 5265204278400.

The previous prime is 12112222021951. The next prime is 12112222022071. The reversal of 12112222022032 is 23022022221121.

It is a happy number.

It is a super-3 number, since 3×121122220220323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12112222021994 and 12112222022012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21709219 + ... + 22260157.

It is an arithmetic number, because the mean of its divisors is an integer number (333985998528).

Almost surely, 212112222022032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112222022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359439941120).

12112222022032 is an abundant number, since it is smaller than the sum of its proper divisors (14606657860208).

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

12112222022032 is a wasteful number, since it uses less digits than its factorization.

12112222022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556412 (or 556406 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12112222022032 its reverse (23022022221121), we get a palindrome (35134244243153).

The spelling of 12112222022032 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 5431 10862 21724 43448 59741 86896 119482 124913 238964 249826 477928 499652 550939 955856 999304 1101878 1374043 1998608 2203756 2748086 4407512 5496172 6060329 8815024 10992344 12120658 12671597 21984688 24241316 25343194 48482632 50686388 96965264 101372776 139387567 202745552 278775134 557550268 1115100536 2230201072 2992149709 5984299418 11968598836 23937197672 32913646799 47874395344 65827293598 68819443307 131654587196 137638886614 263309174392 275277773228 526618348784 550555546456 757013876377 1101111092912 1514027752754 3028055505508 6056111011016 12112222022032