Search a number
-
+
21022212112000 = 275311831439089
BaseRepresentation
bin1001100011110100111010…
…11111000011111010000000
32202102201000002220010120121
410301322131133003322000
510223411442300041000
6112413245415150024
74266543004430641
oct461723537037200
982381002803517
1021022212112000
116775519764490
1224362b4375314
13b965033397c8
145296a269b6c8
15266c81678b1a
hex131e9d7c3e80

21022212112000 has 256 divisors, whose sum is σ = 57704976201600. Its totient is φ = 7552333824000.

The previous prime is 21022212111997. The next prime is 21022212112001. The reversal of 21022212112000 is 21121222012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21022212112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13888456 + ... + 15327544.

Almost surely, 221022212112000 is an apocalyptic number.

21022212112000 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 21022212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28852488100800).

21022212112000 is an abundant number, since it is smaller than the sum of its proper divisors (36682764089600).

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

21022212112000 is a wasteful number, since it uses less digits than its factorization.

21022212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439212 (or 1439190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21022212112000 its reverse (21121222012), we get a palindrome (21043333334012).

The spelling of 21022212112000 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, one hundred twelve thousand".