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122424143120 = 2452935222873
BaseRepresentation
bin111001000000100001…
…1000010110100010000
3102200222221121211200222
41302001003002310100
54001211040034440
6132124010132212
711562533022026
oct1620103026420
9380887554628
10122424143120
1147a13267794
121b887721068
13b7104a7196
145cd528c716
1532b7bea2b5
hex1c810c2d10

122424143120 has 40 divisors (see below), whose sum is σ = 285607641816. Its totient is φ = 48802515968.

The previous prime is 122424143089. The next prime is 122424143189. The reversal of 122424143120 is 21341424221.

It can be written as a sum of positive squares in 4 ways, for example, as 53320351744 + 69103791376 = 230912^2 + 262876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 122424143120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2587997 + ... + 2634876.

Almost surely, 2122424143120 is an apocalyptic number.

122424143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122424143120 is an abundant number, since it is smaller than the sum of its proper divisors (163183498696).

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

122424143120 is a wasteful number, since it uses less digits than its factorization.

122424143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223179 (or 5223173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 122424143120 its reverse (21341424221), we get a palindrome (143765567341).

The spelling of 122424143120 in words is "one hundred twenty-two billion, four hundred twenty-four million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 586 1172 1465 2344 2930 4688 5860 11720 23440 5222873 10445746 20891492 26114365 41782984 52228730 83565968 104457460 208914920 417829840 1530301789 3060603578 6121207156 7651508945 12242414312 15303017890 24484828624 30606035780 61212071560 122424143120