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2122022111120 = 24553500476913
BaseRepresentation
bin11110111000010010010…
…111111100011110010000
321111212022100222100102222
4132320102113330132100
5234231400130023440
64302502110200212
7306211454223122
oct36702227743620
97455270870388
102122022111120
11748a43184a1a
122a3318ab3068
1312514b6680a2
14749c65a9212
153a2ea7622b5
hex1ee125fc790

2122022111120 has 40 divisors (see below), whose sum is σ = 5026790124216. Its totient is φ = 832793581568.

The previous prime is 2122022111107. The next prime is 2122022111123. The reversal of 2122022111120 is 211112202212.

It can be written as a sum of positive squares in 4 ways, for example, as 909230903296 + 1212791207824 = 953536^2 + 1101268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2122022111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250234217 + ... + 250242696.

Almost surely, 22122022111120 is an apocalyptic number.

2122022111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122022111120 is an abundant number, since it is smaller than the sum of its proper divisors (2904768013096).

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

2122022111120 is a wasteful number, since it uses less digits than its factorization.

2122022111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500476979 (or 500476973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122022111120 its reverse (211112202212), we get a palindrome (2333134313332).

The spelling of 2122022111120 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 500476913 1000953826 2001907652 2502384565 4003815304 5004769130 8007630608 10009538260 20019076520 26525276389 40038153040 53050552778 106101105556 132626381945 212202211112 265252763890 424404422224 530505527780 1061011055560 2122022111120