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12020121221200 = 2452101297527753
BaseRepresentation
bin1010111011101010011100…
…0011100011100001010000
31120120010000220201001021021
42232322213003203201100
53033414202013034300
641321544545405224
72350265544405001
oct256724703434120
946503026631237
1012020121221200
11391478307a134
1214216b6339814
1369265322b231
142d7ac401b1a8
1515ca0e633d1a
hexaeea70e3850

12020121221200 has 60 divisors (see below), whose sum is σ = 29164265502588. Its totient is φ = 4760444032000.

The previous prime is 12020121221183. The next prime is 12020121221231. The reversal of 12020121221200 is 212212102021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1503409490496 + 10516711730704 = 1226136^2 + 3242948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148723477 + ... + 148804276.

Almost surely, 212020121221200 is an apocalyptic number.

12020121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020121221200 is an abundant number, since it is smaller than the sum of its proper divisors (17144144281388).

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

12020121221200 is a wasteful number, since it uses less digits than its factorization.

12020121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297527872 (or 297527861 counting only the distinct ones).

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

Adding to 12020121221200 its reverse (212212102021), we get a palindrome (12232333323221).

The spelling of 12020121221200 in words is "twelve trillion, twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 297527753 595055506 1190111012 1487638765 2380222024 2975277530 4760444048 5950555060 7438193825 11901110120 14876387650 23802220240 29752775300 30050303053 59505550600 60100606106 119011101200 120201212212 150251515265 240402424424 300503030530 480804848848 601006061060 751257576325 1202012122120 1502515152650 2404024244240 3005030305300 6010060610600 12020121221200