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110122120020 = 2235111019911667
BaseRepresentation
bin110011010001111001…
…0100011001101010100
3101112020121012022112210
41212203302203031110
53301012230320040
6122331151113420
710645633401333
oct1464362431524
9345217168483
10110122120020
114278007a750
1219413812870
13a4cc8b6a83
1454894d1d1a
152ce7bbb480
hex19a3ca3354

110122120020 has 192 divisors, whose sum is σ = 340250222592. Its totient is φ = 26389440000.

The previous prime is 110122119983. The next prime is 110122120027. The reversal of 110122120020 is 20021221011.

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 = 110122119978 and 110122120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122120027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66059227 + ... + 66060893.

It is an arithmetic number, because the mean of its divisors is an integer number (1772136576).

Almost surely, 2110122120020 is an apocalyptic number.

110122120020 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 110122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170125111296).

110122120020 is an abundant number, since it is smaller than the sum of its proper divisors (230128102572).

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

110122120020 is a wasteful number, since it uses less digits than its factorization.

110122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

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

Adding to 110122120020 its reverse (20021221011), we get a palindrome (130143341031).

The spelling of 110122120020 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, twenty".