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2121112112020 = 225111922310111497
BaseRepresentation
bin11110110111011100001…
…000100100101110010100
321111202221221122121100121
4132313130020210232110
5234223014200041040
64302231521521324
7306150064320406
oct36673410445624
97452857577317
102121112112020
11748616543150
122a31041a3244
13125034c80395
147493b7a8b76
153a29590cc4a
hex1eddc224b94

2121112112020 has 288 divisors, whose sum is σ = 5404919498496. Its totient is φ = 691967232000.

The previous prime is 2121112112017. The next prime is 2121112112027. The reversal of 2121112112020 is 202112111212.

It is a junction number, because it is equal to n+sod(n) for n = 2121112111985 and 2121112112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112112027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184486912 + ... + 184498408.

It is an arithmetic number, because the mean of its divisors is an integer number (18767081592).

Almost surely, 22121112112020 is an apocalyptic number.

2121112112020 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 2121112112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702459749248).

2121112112020 is an abundant number, since it is smaller than the sum of its proper divisors (3283807386476).

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

2121112112020 is a wasteful number, since it uses less digits than its factorization.

2121112112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121112112020 its reverse (202112111212), we get a palindrome (2323224223232).

The spelling of 2121112112020 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, twenty".