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2121001111120 = 24597727136657
BaseRepresentation
bin11110110111010101100…
…001001000111001010000
321111202200012210011202011
4132313111201020321100
5234222302241023440
64302212514432304
7306144245656543
oct36672541107120
97452605704664
102121001111120
11748569918571
122a3092b92694
13125017c87588
147492ab5285a
153a28acd39ea
hex1edd5848e50

2121001111120 has 40 divisors (see below), whose sum is σ = 4936375183464. Its totient is φ = 847532040192.

The previous prime is 2121001111109. The next prime is 2121001111133. The reversal of 2121001111120 is 211111001212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81108761616 + 2039892349504 = 284796^2 + 1428248^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121001111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13490169 + ... + 13646488.

Almost surely, 22121001111120 is an apocalyptic number.

2121001111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121001111120 is an abundant number, since it is smaller than the sum of its proper divisors (2815374072344).

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

2121001111120 is a wasteful number, since it uses less digits than its factorization.

2121001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27137647 (or 27137641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2121001111120 its reverse (211111001212), we get a palindrome (2332112112332).

The spelling of 2121001111120 in words is "two trillion, one hundred twenty-one billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 977 1954 3908 4885 7816 9770 15632 19540 39080 78160 27136657 54273314 108546628 135683285 217093256 271366570 434186512 542733140 1085466280 2170932560 26512513889 53025027778 106050055556 132562569445 212100111112 265125138890 424200222224 530250277780 1060500555560 2121001111120