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120220004214432 = 25323664311391823
BaseRepresentation
bin11011010101011011100110…
…101001010110011010100000
3120202122220211210112002210200
4123111123212221112122200
5111224141032034330212
61103404150230425200
734215415530150063
oct3325334651263240
9522586753462720
10120220004214432
1135340021282831
1211597538202200
13521090bc6ab05
142198971c128da
15dd72e8dc96dc
hex6d56e6a566a0

120220004214432 has 72 divisors (see below), whose sum is σ = 341884996899264. Its totient is φ = 40072237605504.

The previous prime is 120220004214421. The next prime is 120220004214433. The reversal of 120220004214432 is 234412400022021.

It is a happy number.

120220004214432 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 200 + 0 + 4 + 21 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 120220004214396 and 120220004214405.

It is not an unprimeable number, because it can be changed into a prime (120220004214433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4857273 + ... + 16249095.

It is an arithmetic number, because the mean of its divisors is an integer number (4748402734712).

Almost surely, 2120220004214432 is an apocalyptic number.

120220004214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120220004214432 is an abundant number, since it is smaller than the sum of its proper divisors (221664992684832).

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

120220004214432 is a wasteful number, since it uses less digits than its factorization.

120220004214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428482 (or 11428471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 120220004214432 its reverse (234412400022021), we get a palindrome (354632404236453).

The spelling of 120220004214432 in words is "one hundred twenty trillion, two hundred twenty billion, four million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36643 73286 109929 146572 219858 293144 329787 439716 586288 659574 879432 1172576 1319148 1758864 2638296 3517728 5276592 10553184 11391823 22783646 34175469 45567292 68350938 91134584 102526407 136701876 182269168 205052814 273403752 364538336 410105628 546807504 820211256 1093615008 1640422512 3280845024 417430570189 834861140378 1252291710567 1669722280756 2504583421134 3339444561512 3756875131701 5009166842268 6678889123024 7513750263402 10018333684536 13357778246048 15027500526804 20036667369072 30055001053608 40073334738144 60110002107216 120220004214432