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2124144421120 = 28511314685733
BaseRepresentation
bin11110111010010000110…
…111111010100100000000
321112001210021110212110001
4132322100313322210000
5234300221432433440
64303452442445344
7306315164446621
oct36722067724400
97461707425401
102124144421120
11749932170927
122a380b803854
131253c9267917
1474b483c1a48
153a3c1c34b9a
hex1ee90dfa900

2124144421120 has 72 divisors (see below), whose sum is σ = 5133016490616. Its totient is φ = 842138615808.

The previous prime is 2124144421073. The next prime is 2124144421153. The reversal of 2124144421120 is 211244414212.

It can be written as a sum of positive squares in 4 ways, for example, as 62324123904 + 2061820297216 = 249648^2 + 1435904^2 .

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, 7198227 + ... + 7487506.

It is an arithmetic number, because the mean of its divisors is an integer number (71291895703).

Almost surely, 22124144421120 is an apocalyptic number.

2124144421120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124144421120 is an abundant number, since it is smaller than the sum of its proper divisors (3008872069496).

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

2124144421120 is a wasteful number, since it uses less digits than its factorization.

2124144421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685867 (or 14685853 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 2124144421120 its reverse (211244414212), we get a palindrome (2335388835332).

The spelling of 2124144421120 in words is "two trillion, one hundred twenty-four billion, one hundred forty-four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 28928 36160 72320 144640 14685733 29371466 58742932 73428665 117485864 146857330 234971728 293714660 469943456 587429320 939886912 1174858640 1659487829 1879773824 2349717280 3318975658 3759547648 4699434560 6637951316 8297439145 9398869120 13275902632 16594878290 18797738240 26551805264 33189756580 53103610528 66379513160 106207221056 132759026320 212414442112 265518052640 424828884224 531036105280 1062072210560 2124144421120