Search a number
-
+
22021121020000 = 255417235727479
BaseRepresentation
bin1010000000111001100010…
…00110001001000001100000
32212222012100210020100012211
411000130301012021001200
510341243223440120000
6114500210251531504
74431654623154514
oct500346106110140
985865323210184
1022021121020000
1170201177a9853
122577a10a59b94
13c3977655317b
14561b83c44144
15282c472187ba
hex140731189060

22021121020000 has 240 divisors, whose sum is σ = 57388466187360. Its totient is φ = 8286485504000.

The previous prime is 22021121019973. The next prime is 22021121020009. The reversal of 22021121020000 is 2012112022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021121020009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 801366261 + ... + 801393739.

It is an arithmetic number, because the mean of its divisors is an integer number (239118609114).

Almost surely, 222021121020000 is an apocalyptic number.

22021121020000 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 22021121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28694233093680).

22021121020000 is an abundant number, since it is smaller than the sum of its proper divisors (35367345167360).

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

22021121020000 is a wasteful number, since it uses less digits than its factorization.

22021121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29883 (or 29860 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22021121020000 its reverse (2012112022), we get a palindrome (22023133132022).

The spelling of 22021121020000 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-one million, twenty thousand".