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2122131231120 = 2435411077692621
BaseRepresentation
bin11110111000011000111…
…000001101000110010000
321111212120222022012221110
4132320120320031012100
5234232111043343440
64302521005053320
7306214250561205
oct36703070150620
97455528265843
102122131231120
11748a9983543a
122a3349557240
13125168152a34
14749d6c91cac
153a305119080
hex1ee18e0d190

2122131231120 has 320 divisors, whose sum is σ = 6813486408960. Its totient is φ = 546019737600.

The previous prime is 2122131231097. The next prime is 2122131231127. The reversal of 2122131231120 is 211321312212.

It is not an unprimeable number, because it can be changed into a prime (2122131231127) 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, 809663410 + ... + 809666030.

It is an arithmetic number, because the mean of its divisors is an integer number (21292145028).

Almost surely, 22122131231120 is an apocalyptic number.

2122131231120 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 2122131231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406743204480).

2122131231120 is an abundant number, since it is smaller than the sum of its proper divisors (4691355177840).

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

2122131231120 is a wasteful number, since it uses less digits than its factorization.

2122131231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2122131231120 its reverse (211321312212), we get a palindrome (2333452543332).

The spelling of 2122131231120 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".