Search a number
-
+
21222222111120 = 24351997149322009
BaseRepresentation
bin1001101001101001011110…
…00000101010000110010000
32210010211021010222211021210
410310310233000222012100
510240201102330023440
6113045204303420120
74320153306401622
oct464645700520620
983124233884253
1021222222111120
116842326135118
1224690132b4640
13bac32974a004
14535237c22c12
1526c08a925a80
hex134d2f02a190

21222222111120 has 320 divisors, whose sum is σ = 70435179360000. Its totient is φ = 5270503292928.

The previous prime is 21222222111119. The next prime is 21222222111173. The reversal of 21222222111120 is 2111122222212.

It is a super-2 number, since 2×212222221111202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65744676 + ... + 66066684.

It is an arithmetic number, because the mean of its divisors is an integer number (220109935500).

Almost surely, 221222222111120 is an apocalyptic number.

21222222111120 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 21222222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35217589680000).

21222222111120 is an abundant number, since it is smaller than the sum of its proper divisors (49212957248880).

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

21222222111120 is a wasteful number, since it uses less digits than its factorization.

21222222111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322290 (or 322284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21222222111120 its reverse (2111122222212), we get a palindrome (23333344333332).

The spelling of 21222222111120 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".