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2121001121200 = 2452132179187189
BaseRepresentation
bin11110110111010101100…
…001001011010110110000
321111202200012210200120111
4132313111201023112300
5234222302241334300
64302212514551104
7306144246031123
oct36672541132660
97452605720514
102121001121200
117485699250a5
122a3092b98494
13125017c8c040
147492ab563ba
153a28acd69ba
hex1edd584b5b0

2121001121200 has 120 divisors (see below), whose sum is σ = 5490230286800. Its totient is φ = 782775290880.

The previous prime is 2121001121189. The next prime is 2121001121231. The reversal of 2121001121200 is 21211001212.

It is a super-2 number, since 2×21210011212002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11237206 + ... + 11424394.

Almost surely, 22121001121200 is an apocalyptic number.

2121001121200 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 2121001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745115143400).

2121001121200 is an abundant number, since it is smaller than the sum of its proper divisors (3369229165600).

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

2121001121200 is a wasteful number, since it uses less digits than its factorization.

2121001121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189399 (or 189388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121001121200 its reverse (21211001212), we get a palindrome (2142212122412).

The spelling of 2121001121200 in words is "two trillion, one hundred twenty-one billion, one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2179 2600 4358 5200 8716 10895 17432 21790 28327 34864 43580 54475 56654 87160 108950 113308 141635 174320 187189 217900 226616 283270 374378 435800 453232 566540 708175 748756 871600 935945 1133080 1416350 1497512 1871890 2266160 2433457 2832700 2995024 3743780 4679725 4866914 5665400 7487560 9359450 9733828 11330800 12167285 14975120 18718900 19467656 24334570 37437800 38935312 48669140 60836425 74875600 97338280 121672850 194676560 243345700 407884831 486691400 815769662 973382800 1631539324 2039424155 3263078648 4078848310 5302502803 6526157296 8157696620 10197120775 10605005606 16315393240 20394241550 21210011212 26512514015 32630786480 40788483100 42420022424 53025028030 81576966200 84840044848 106050056060 132562570075 163153932400 212100112120 265125140150 424200224240 530250280300 1060500560600 2121001121200