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110122001220 = 2235721131109843
BaseRepresentation
bin110011010001111001…
…0000110001101000100
3101112020120222021120210
41212203302012031010
53301012213014340
6122331144355420
710645632365100
oct1464362061504
9345216867523
10110122001220
114277aaa9470
1219413775b70
13a4cc87498a
1454894a0900
152ce7b96180
hex19a3c86344

110122001220 has 288 divisors, whose sum is σ = 403916599296. Its totient is φ = 22144147200.

The previous prime is 110122001203. The next prime is 110122001233. The reversal of 110122001220 is 22100221011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110122001196 and 110122001205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947619 + ... + 1057461.

It is an arithmetic number, because the mean of its divisors is an integer number (1402488192).

Almost surely, 2110122001220 is an apocalyptic number.

110122001220 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 110122001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201958299648).

110122001220 is an abundant number, since it is smaller than the sum of its proper divisors (293794598076).

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

110122001220 is a wasteful number, since it uses less digits than its factorization.

110122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109911 (or 109902 counting only the distinct ones).

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

Adding to 110122001220 its reverse (22100221011), we get a palindrome (132222222231).

The spelling of 110122001220 in words is "one hundred ten billion, one hundred twenty-two million, one thousand, two hundred twenty".