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121424111124 = 223177375710771
BaseRepresentation
bin111000100010101110…
…0001110011000010100
3102121102020212221200220
41301011130032120110
53442134033023444
6131440444034340
711526000625611
oct1610534163024
9377366787626
10121424111124
114754a821968
121b6488329b0
13b5b1258584
145c3c533508
15325a00e619
hex1c4570e614

121424111124 has 96 divisors (see below), whose sum is σ = 304528404096. Its totient is φ = 37518888960.

The previous prime is 121424111113. The next prime is 121424111153. The reversal of 121424111124 is 421111424121.

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 = 121424111094 and 121424111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11267859 + ... + 11278629.

It is an arithmetic number, because the mean of its divisors is an integer number (3172170876).

Almost surely, 2121424111124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121424111124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152264202048).

121424111124 is an abundant number, since it is smaller than the sum of its proper divisors (183104292972).

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

121424111124 is a wasteful number, since it uses less digits than its factorization.

121424111124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625 (or 11623 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 121424111124 its reverse (421111424121), we get a palindrome (542535535245).

The spelling of 121424111124 in words is "one hundred twenty-one billion, four hundred twenty-four million, one hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 757 876 1241 1514 2271 2482 3028 3723 4542 4964 7446 9084 10771 12869 14892 21542 25738 32313 38607 43084 51476 55261 64626 77214 110522 129252 154428 165783 183107 221044 331566 366214 549321 663132 732428 786283 939437 1098642 1572566 1878874 2197284 2358849 2818311 3145132 3757748 4717698 5636622 8153647 9435396 11273244 13366811 16307294 24460941 26733622 32614588 40100433 48921882 53467244 80200866 97843764 138611999 160401732 277223998 415835997 554447996 595216231 831671994 1190432462 1663343988 1785648693 2380864924 3571297386 7142594772 10118675927 20237351854 30356027781 40474703708 60712055562 121424111124