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120001112022 = 231179101227873
BaseRepresentation
bin110111111000010011…
…1111010011111010110
3102110202002021002220110
41233300213322133112
53431230241041042
6131043332143450
711445511423311
oct1576047723726
9373662232813
10120001112022
114698a554650
121b310167b86
13b4154b657c
145b45555978
1531c512509c
hex1bf09fa7d6

120001112022 has 64 divisors (see below), whose sum is σ = 267761064960. Its totient is φ = 35548032000.

The previous prime is 120001111999. The next prime is 120001112039. The reversal of 120001112022 is 220211100021.

It is a junction number, because it is equal to n+sod(n) for n = 120001111989 and 120001112007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412678 + ... + 640550.

It is an arithmetic number, because the mean of its divisors is an integer number (4183766640).

Almost surely, 2120001112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133880532480).

120001112022 is an abundant number, since it is smaller than the sum of its proper divisors (147759952938).

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

120001112022 is a wasteful number, since it uses less digits than its factorization.

120001112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228069.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120001112022 its reverse (220211100021), we get a palindrome (340212212043).

The spelling of 120001112022 in words is "one hundred twenty billion, one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 101 158 202 237 303 474 606 869 1111 1738 2222 2607 3333 5214 6666 7979 15958 23937 47874 87769 175538 227873 263307 455746 526614 683619 1367238 2506603 5013206 7519809 15039618 18001967 23015173 36003934 46030346 54005901 69045519 108011802 138091038 198021637 253166903 396043274 506333806 594064911 759500709 1188129822 1519001418 1818198667 3636397334 5454596001 10909192002 20000185337 40000370674 60000556011 120001112022