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120022010121220 = 22523292310246627
BaseRepresentation
bin11011010010100011001101…
…010001110100110000000100
3120201221222210020201001010021
4123102203031101310300010
5111212420034042334340
61103133203354104524
734165206204135604
oct3322431521646004
9521858706631107
10120022010121220
1135274059823039
12115650a041b144
1351c80473b373c
14218d14c2c6c04
15dd20abad2e4a
hex6d28cd474c04

120022010121220 has 72 divisors (see below), whose sum is σ = 272386611491904. Its totient is φ = 44337965814912.

The previous prime is 120022010121161. The next prime is 120022010121241. The reversal of 120022010121220 is 22121010220021.

It is a happy number.

It is a super-2 number, since 2×1200220101212202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022010121194 and 120022010121203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154736454 + ... + 155510173.

It is an arithmetic number, because the mean of its divisors is an integer number (3783147381832).

Almost surely, 2120022010121220 is an apocalyptic number.

120022010121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022010121220 is an abundant number, since it is smaller than the sum of its proper divisors (152364601370684).

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

120022010121220 is a wasteful number, since it uses less digits than its factorization.

120022010121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310246717 (or 310246686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120022010121220 its reverse (22121010220021), we get a palindrome (142143020341241).

The spelling of 120022010121220 in words is "one hundred twenty trillion, twenty-two billion, ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 841 1334 1682 2668 3335 3364 4205 6670 8410 13340 16820 19343 38686 77372 96715 193430 386860 310246627 620493254 1240986508 1551233135 3102466270 6204932540 7135672421 8997152183 14271344842 17994304366 28542689684 35678362105 35988608732 44985760915 71356724210 89971521830 142713448420 179943043660 206934500209 260917413307 413869000418 521834826614 827738000836 1034672501045 1043669653228 1304587066535 2069345002090 2609174133070 4138690004180 5218348266140 6001100506061 12002201012122 24004402024244 30005502530305 60011005060610 120022010121220