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120212200112022 = 23237377834777249
BaseRepresentation
bin11011010101010100010101…
…011111000011111110010110
3120202122011200220201121212200
4123111110111133003332112
5111224024041212041042
61103400420005425330
734215021245316654
oct3325242537037626
9522564626647780
10120212200112022
1135337787046117
1211595b1a70b246
13520cc671a6935
14219843157ddd4
15dd6eddbc7c4c
hex6d55157c3f96

120212200112022 has 48 divisors (see below), whose sum is σ = 267506355948000. Its totient is φ = 38986700530176.

The previous prime is 120212200111961. The next prime is 120212200112063. The reversal of 120212200112022 is 220211002212021.

It is a happy number.

120212200112022 is a `hidden beast` number, since 120 + 212 + 200 + 112 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212200111986 and 120212200112004.

It is a congruent number.

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, 22774854 + ... + 27552102.

It is an arithmetic number, because the mean of its divisors is an integer number (5573049082250).

Almost surely, 2120212200112022 is an apocalyptic number.

120212200112022 is an abundant number, since it is smaller than the sum of its proper divisors (147294155835978).

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

120212200112022 is a wasteful number, since it uses less digits than its factorization.

120212200112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815077 (or 4815074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212200112022 its reverse (220211002212021), we get a palindrome (340423202324043).

The spelling of 120212200112022 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 37783 75566 113349 226698 340047 680094 1397971 2795942 4193913 4777249 8387826 9554498 12581739 14331747 25163478 28663494 42995241 85990482 176758213 353516426 530274639 1060549278 1590823917 3181647834 180498798967 360997597934 541496396901 1082992793802 1624489190703 3248978381406 6678455561779 13356911123558 20035366685337 40070733370674 60106100056011 120212200112022