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11222002120 = 2357269148991
BaseRepresentation
bin10100111001110001…
…00010100111001000
31001222002011202220011
422130320202213020
5140440313031440
65053314241304
7545043305230
oct123470424710
931862152804
1011222002120
11483958931a
122212286234
13109ac16454
1478657ccc0
1545a2e29ea
hex29ce229c8

11222002120 has 64 divisors (see below), whose sum is σ = 28964044800. Its totient is φ = 3833214720.

The previous prime is 11222002087. The next prime is 11222002133. The reversal of 11222002120 is 2120022211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11222002120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825 + ... + 149815.

It is an arithmetic number, because the mean of its divisors is an integer number (452563200).

Almost surely, 211222002120 is an apocalyptic number.

11222002120 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 11222002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482022400).

11222002120 is an abundant number, since it is smaller than the sum of its proper divisors (17742042680).

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

11222002120 is a wasteful number, since it uses less digits than its factorization.

11222002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149278 (or 149274 counting only the distinct ones).

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

Adding to 11222002120 its reverse (2120022211), we get a palindrome (13342024331).

The spelling of 11222002120 in words is "eleven billion, two hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 1076 1345 1883 2152 2690 3766 5380 7532 9415 10760 15064 18830 37660 75320 148991 297982 595964 744955 1042937 1191928 1489910 2085874 2979820 4171748 5214685 5959640 8343496 10429370 20858740 40078579 41717480 80157158 160314316 200392895 280550053 320628632 400785790 561100106 801571580 1122200212 1402750265 1603143160 2244400424 2805500530 5611001060 11222002120