Search a number
-
+
20121100022000 = 245312018376811
BaseRepresentation
bin1001001001100110011110…
…00001001111000011110000
32122020120002001112000122202
410210303033001033003300
510114131003101201000
6110443301123522332
74144462421151335
oct444631701170360
978216061460582
1020121100022000
116458346451a4a
12230b72b8293a8
13b2c547358aa3
144d7c1b70a98c
1524d5e16c8dd5
hex124ccf04f0f0

20121100022000 has 80 divisors (see below), whose sum is σ = 48693335924064. Its totient is φ = 8041737600000.

The previous prime is 20121100021943. The next prime is 20121100022003. The reversal of 20121100022000 is 22000112102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121100022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786406 + ... + 6590405.

Almost surely, 220121100022000 is an apocalyptic number.

20121100022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121100022000 is an abundant number, since it is smaller than the sum of its proper divisors (28572235902064).

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

20121100022000 is a wasteful number, since it uses less digits than its factorization.

20121100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378035 (or 8378019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121100022000 its reverse (22000112102), we get a palindrome (20143100134102).

The spelling of 20121100022000 in words is "twenty trillion, one hundred twenty-one billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1201 2000 2402 4804 6005 9608 12010 19216 24020 30025 48040 60050 96080 120100 150125 240200 300250 480400 600500 1201000 2402000 8376811 16753622 33507244 41884055 67014488 83768110 134028976 167536220 209420275 335072440 418840550 670144880 837681100 1047101375 1675362200 2094202750 3350724400 4188405500 8376811000 10060550011 16753622000 20121100022 40242200044 50302750055 80484400088 100605500110 160968800176 201211000220 251513750275 402422000440 503027500550 804844000880 1006055001100 1257568751375 2012110002200 2515137502750 4024220004400 5030275005500 10060550011000 20121100022000