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120014004224 = 21357125657
BaseRepresentation
bin110111111000101100…
…1000110000000000000
3102110202222112002200102
41233301121012000000
53431242041113344
6131044512341532
711446026130022
oct1576131060000
9373688462612
10120014004224
114699685a764
121b3145448a8
13b41807b6aa
145b47150012
1531c631ee4e
hex1bf1646000

120014004224 has 56 divisors (see below), whose sum is σ = 240443068008. Its totient is φ = 59899576320.

The previous prime is 120014004113. The next prime is 120014004277. The reversal of 120014004224 is 422400410021.

It is a super-2 number, since 2×1200140042242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120014004196 and 120014004205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4664804 + ... + 4690460.

Almost surely, 2120014004224 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 120014004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120221534004).

120014004224 is an abundant number, since it is smaller than the sum of its proper divisors (120429063784).

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

120014004224 is an frugal number, since it uses more digits than its factorization.

120014004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26254 (or 26230 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 120014004224 its reverse (422400410021), we get a palindrome (542414414245).

The spelling of 120014004224 in words is "one hundred twenty billion, fourteen million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 571 1024 1142 2048 2284 4096 4568 8192 9136 18272 25657 36544 51314 73088 102628 146176 205256 292352 410512 584704 821024 1169408 1642048 2338816 3284096 4677632 6568192 13136384 14650147 26272768 29300294 52545536 58600588 105091072 117201176 210182144 234402352 468804704 937609408 1875218816 3750437632 7500875264 15001750528 30003501056 60007002112 120014004224