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22212111111120 = 243257167263100343
BaseRepresentation
bin1010000110011101010001…
…11111100001001111010000
32220122110100012210020021100
411003032220333201033100
510402410400421023440
6115124034124224400
74451525551150560
oct503165077411720
986573305706240
1022212111111120
117094115721067
1225a8a3309b100
13c51793032ac8
1456b101490da0
15287bc46a5230
hex1433a8fe13d0

22212111111120 has 480 divisors, whose sum is σ = 86089641910272. Its totient is φ = 5027413552128.

The previous prime is 22212111111041. The next prime is 22212111111133. The reversal of 22212111111120 is 2111111121222.

It is a happy number.

22212111111120 is a `hidden beast` number, since 2 + 221 + 211 + 1 + 111 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212111111093 and 22212111111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221311669 + ... + 221412011.

Almost surely, 222212111111120 is an apocalyptic number.

22212111111120 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 22212111111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43044820955136).

22212111111120 is an abundant number, since it is smaller than the sum of its proper divisors (63877530799152).

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

22212111111120 is a wasteful number, since it uses less digits than its factorization.

22212111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100799 (or 100790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22212111111120 its reverse (2111111121222), we get a palindrome (24323222232342).

The spelling of 22212111111120 in words is "twenty-two trillion, two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".