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11222122120 = 23511671013769
BaseRepresentation
bin10100111001110001…
…11111111010001000
31001222002101212111121
422130320333322020
5140440330401440
65053321005024
7545044315126
oct123470777210
931862355447
1011222122120
1148396604a0
122212323774
13109ac58c61
147865b0916
1545a31834a
hex29ce3fe88

11222122120 has 128 divisors (see below), whose sum is σ = 28240617600. Its totient is φ = 3979008000.

The previous prime is 11222122117. The next prime is 11222122151. The reversal of 11222122120 is 2122122211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11222122094 and 11222122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975596 + ... + 2979364.

It is an arithmetic number, because the mean of its divisors is an integer number (220629825).

Almost surely, 211222122120 is an apocalyptic number.

11222122120 is a gapful number since it is divisible by the number (10) 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 11222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120308800).

11222122120 is an abundant number, since it is smaller than the sum of its proper divisors (17018495480).

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

11222122120 is a wasteful number, since it uses less digits than its factorization.

11222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3955 counting only the distinct ones).

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

Adding to 11222122120 its reverse (2122122211), we get a palindrome (13344244331).

Subtracting from 11222122120 its reverse (2122122211), we obtain a palindrome (9099999909).

The spelling of 11222122120 in words is "eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 101 110 134 202 220 268 335 404 440 505 536 670 737 808 1010 1111 1340 1474 2020 2222 2680 2948 3685 3769 4040 4444 5555 5896 6767 7370 7538 8888 11110 13534 14740 15076 18845 22220 27068 29480 30152 33835 37690 41459 44440 54136 67670 74437 75380 82918 135340 148874 150760 165836 207295 252523 270680 297748 331672 372185 380669 414590 505046 595496 744370 761338 829180 1010092 1262615 1488740 1522676 1658360 1903345 2020184 2525230 2777753 2977480 3045352 3806690 4187359 5050460 5555506 7613380 8374718 10100920 11111012 13888765 15226760 16749436 20936795 22222024 25504823 27777530 33498872 41873590 51009646 55555060 83747180 102019292 111110120 127524115 167494360 204038584 255048230 280553053 510096460 561106106 1020192920 1122212212 1402765265 2244424424 2805530530 5611061060 11222122120