Search a number
-
+
20022120201200 = 24521331787157823
BaseRepresentation
bin1001000110101110000110…
…10111001011101111110000
32121220002120222112011011212
410203113003113023233300
510111020300232414300
6110330011322455252
74134356542440245
oct443270327135760
977802528464155
1020022120201200
11641a373972657
1222b4507664528
13b231020003a0
144d310bd6b5cc
1524ac4bd09935
hex1235c35cbbf0

20022120201200 has 240 divisors, whose sum is σ = 53542749044736. Its totient is φ = 7145170099200.

The previous prime is 20022120201157. The next prime is 20022120201203. The reversal of 20022120201200 is 210202122002.

It is a super-2 number, since 2×200221202012002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022120201203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126785489 + ... + 126943311.

Almost surely, 220022120201200 is an apocalyptic number.

20022120201200 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 20022120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26771374522368).

20022120201200 is an abundant number, since it is smaller than the sum of its proper divisors (33520628843536).

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

20022120201200 is a wasteful number, since it uses less digits than its factorization.

20022120201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158672 (or 158661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20022120201200 its reverse (210202122002), we get a palindrome (20232322323202).

The spelling of 20022120201200 in words is "twenty trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred".