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122441222424 = 23347721115053
BaseRepresentation
bin111001000001000010…
…0001100100100011000
3102201001010202120002210
41302002010030210120
54001224423104144
6132125420155120
711563131134643
oct1620204144430
9381033676083
10122441222424
1147a21972714
121b891398aa0
13b713ba7091
145cd7656a5a
1532b9470ab9
hex1c8210c918

122441222424 has 64 divisors (see below), whose sum is σ = 312680010240. Its totient is φ = 39937170560.

The previous prime is 122441222419. The next prime is 122441222437. The reversal of 122441222424 is 424222144221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122441222391 and 122441222400.

It is a congruent number.

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, 8126482 + ... + 8141534.

It is an arithmetic number, because the mean of its divisors is an integer number (4885625160).

Almost surely, 2122441222424 is an apocalyptic number.

It is an amenable number.

122441222424 is an abundant number, since it is smaller than the sum of its proper divisors (190238787816).

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

122441222424 is a wasteful number, since it uses less digits than its factorization.

122441222424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320 (or 22316 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

Adding to 122441222424 its reverse (424222144221), we get a palindrome (546663366645).

It can be divided in two parts, 122441 and 222424, that added together give a triangular number (344865 = T830).

The spelling of 122441222424 in words is "one hundred twenty-two billion, four hundred forty-one million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 7211 14422 15053 21633 28844 30106 43266 45159 57688 60212 86532 90318 120424 173064 180636 338917 361272 677834 707491 1016751 1355668 1414982 2033502 2122473 2711336 2829964 4067004 4244946 5659928 8134008 8489892 16979784 108547183 217094366 325641549 434188732 651283098 868377464 1302566196 2605132392 5101717601 10203435202 15305152803 20406870404 30610305606 40813740808 61220611212 122441222424