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2122111123000 = 2353112314595749
BaseRepresentation
bin11110111000010111101…
…011011111111000111000
321111212112120110121210021
4132320113223133320320
5234232040421414000
64302515010100224
7306213614632021
oct36702753377070
97455476417707
102122111123000
11748a89450960
122a334287a674
13125163c3233b
14749d4339c48
153a30349611a
hex1ee17adfe38

2122111123000 has 256 divisors, whose sum is σ = 5657558400000. Its totient is φ = 737491392000.

The previous prime is 2122111122997. The next prime is 2122111123001. The reversal of 2122111123000 is 3211112212.

It is a super-2 number, since 2×21221111230002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111123001) 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, 369124126 + ... + 369129874.

It is an arithmetic number, because the mean of its divisors is an integer number (22099837500).

Almost surely, 22122111123000 is an apocalyptic number.

2122111123000 is a gapful number since it is divisible by the number (20) 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 2122111123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828779200000).

2122111123000 is an abundant number, since it is smaller than the sum of its proper divisors (3535447277000).

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

2122111123000 is a wasteful number, since it uses less digits than its factorization.

2122111123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2122111123000 its reverse (3211112212), we get a palindrome (2125322235212).

The spelling of 2122111123000 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-three thousand".