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11222012040 = 2335311389773
BaseRepresentation
bin10100111001110001…
…00101000010001000
31001222002012021111120
422130320211002020
5140440313341130
65053314355240
7545043346161
oct123470450210
931862167446
1011222012040
114839595818
12221228bb20
13109ac1ab15
14786582768
1545a2e5910
hex29ce25088

11222012040 has 128 divisors (see below), whose sum is σ = 33904915200. Its totient is φ = 2971397120.

The previous prime is 11222012023. The next prime is 11222012063. The reversal of 11222012040 is 4021022211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14517094 + ... + 14517866.

It is an arithmetic number, because the mean of its divisors is an integer number (264882150).

Almost surely, 211222012040 is an apocalyptic number.

11222012040 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 11222012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952457600).

11222012040 is an abundant number, since it is smaller than the sum of its proper divisors (22682903160).

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

11222012040 is a wasteful number, since it uses less digits than its factorization.

11222012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11222012040 its reverse (4021022211), we get a palindrome (15243034251).

The spelling of 11222012040 in words is "eleven billion, two hundred twenty-two million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 389 622 773 778 933 1167 1244 1546 1555 1556 1866 1945 2319 2334 2488 3092 3110 3112 3732 3865 3890 4638 4665 4668 5835 6184 6220 7464 7730 7780 9276 9330 9336 11595 11670 12440 15460 15560 18552 18660 23190 23340 30920 37320 46380 46680 92760 120979 240403 241958 300697 362937 480806 483916 601394 604895 721209 725874 902091 961612 967832 1202015 1202788 1209790 1442418 1451748 1503485 1804182 1814685 1923224 2404030 2405576 2419580 2884836 2903496 3006970 3606045 3608364 3629370 4510455 4808060 4839160 5769672 6013940 7212090 7216728 7258740 9020910 9616120 12027880 14424180 14517480 18041820 28848360 36083640 93516767 187033534 280550301 374067068 467583835 561100602 748134136 935167670 1122201204 1402751505 1870335340 2244402408 2805503010 3740670680 5611006020 11222012040