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2121330143200 = 255212012207879
BaseRepresentation
bin11110110111101001001…
…000010010111111100000
321111210112010220201220111
4132313221020102333200
5234223441004040300
64302305311021104
7306155352464002
oct36675110227740
97453463821814
102121330143200
11748718621204
122a316520a794
1312506b1ab908
147495c722372
153a2a9b299ba
hex1ede9212fe0

2121330143200 has 72 divisors (see below), whose sum is σ = 5183011547280. Its totient is φ = 847825152000.

The previous prime is 2121330143099. The next prime is 2121330143201. The reversal of 2121330143200 is 23410331212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121330143201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143140 + ... + 2064739.

It is an arithmetic number, because the mean of its divisors is an integer number (71986271490).

Almost surely, 22121330143200 is an apocalyptic number.

2121330143200 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 2121330143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591505773640).

2121330143200 is an abundant number, since it is smaller than the sum of its proper divisors (3061681404080).

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

2121330143200 is a wasteful number, since it uses less digits than its factorization.

2121330143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209100 (or 2209087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2121330143200 its reverse (23410331212), we get a palindrome (2144740474412).

The spelling of 2121330143200 in words is "two trillion, one hundred twenty-one billion, three hundred thirty million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1201 2402 4804 6005 9608 12010 19216 24020 30025 38432 48040 60050 96080 120100 192160 240200 480400 960800 2207879 4415758 8831516 11039395 17663032 22078790 35326064 44157580 55196975 70652128 88315160 110393950 176630320 220787900 353260640 441575800 883151600 1766303200 2651662679 5303325358 10606650716 13258313395 21213301432 26516626790 42426602864 53033253580 66291566975 84853205728 106066507160 132583133950 212133014320 265166267900 424266028640 530332535800 1060665071600 2121330143200