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124442120220 = 2235111733108799
BaseRepresentation
bin111001111100101010…
…1000001000000011100
3102220012120210200212120
41303321111001000130
54014324140321340
6133100134302540
711663535366135
oct1637125010034
9386176720776
10124442120220
1148859372860
122014b4b7a50
13b9725a6c82
1460472a6c8c
153384e5e4d0
hex1cf954101c

124442120220 has 96 divisors (see below), whose sum is σ = 380336947200. Its totient is φ = 30150101760.

The previous prime is 124442120167. The next prime is 124442120221. The reversal of 124442120220 is 22021244421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124442120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089381 + ... + 1198179.

It is an arithmetic number, because the mean of its divisors is an integer number (3961843200).

Almost surely, 2124442120220 is an apocalyptic number.

124442120220 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 124442120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190168473600).

124442120220 is an abundant number, since it is smaller than the sum of its proper divisors (255894826980).

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

124442120220 is a wasteful number, since it uses less digits than its factorization.

124442120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110555 (or 110553 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 124442120220 its reverse (22021244421), we get a palindrome (146463364641).

The spelling of 124442120220 in words is "one hundred twenty-four billion, four hundred forty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1733 3466 5199 6932 8665 10398 17330 19063 20796 25995 34660 38126 51990 57189 76252 95315 103980 108799 114378 190630 217598 228756 285945 326397 381260 435196 543995 571890 652794 1087990 1143780 1196789 1305588 1631985 2175980 2393578 3263970 3590367 4787156 5983945 6527940 7180734 11967890 14361468 17951835 23935780 35903670 71807340 188548667 377097334 565646001 754194668 942743335 1131292002 1885486670 2074035337 2262584004 2828230005 3770973340 4148070674 5656460010 6222106011 8296141348 10370176685 11312920020 12444212022 20740353370 24888424044 31110530055 41480706740 62221060110 124442120220