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2131223121120 = 2535149229712973
BaseRepresentation
bin11111000000110110110…
…011000000110011100000
321112202001121022002100010
4133000312303000303200
5234404221104333440
64311023111524520
7306655460426142
oct37006663006340
97482047262303
102131223121120
11751934988a15
122a5066389740
13125c869672c2
147521a586c92
153a6883e7580
hex1f036cc0ce0

2131223121120 has 192 divisors, whose sum is σ = 6761872353600. Its totient is φ = 564222640128.

The previous prime is 2131223121119. The next prime is 2131223121149. The reversal of 2131223121120 is 211213221312.

It is a super-2 number, since 2×21312231211202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164274954 + ... + 164287926.

It is an arithmetic number, because the mean of its divisors is an integer number (35218085175).

Almost surely, 22131223121120 is an apocalyptic number.

2131223121120 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 2131223121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380936176800).

2131223121120 is an abundant number, since it is smaller than the sum of its proper divisors (4630649232480).

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

2131223121120 is a wasteful number, since it uses less digits than its factorization.

2131223121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437 (or 15429 counting only the distinct ones).

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

Adding to 2131223121120 its reverse (211213221312), we get a palindrome (2342436342432).

The spelling of 2131223121120 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty".