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2212020121220 = 22572131710993701
BaseRepresentation
bin100000001100000110101…
…011000110111010000100
321211110121111002221221022
4200030012223012322010
5242220204122334340
64412104340010312
7315545630541200
oct40140653067204
97743544087838
102212020121220
11783126766a68
122b8855090998
13130791c416c0
14790c3109b00
153c8168493b5
hex20306ac6e84

2212020121220 has 288 divisors, whose sum is σ = 6218222139360. Its totient is φ = 652835635200.

The previous prime is 2212020121183. The next prime is 2212020121231. The reversal of 2212020121220 is 221210202122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 23082117184 + 2188938004036 = 151928^2 + 1479506^2 .

It is a super-3 number, since 3×22120201212203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23560370 + ... + 23654070.

It is an arithmetic number, because the mean of its divisors is an integer number (21591049095).

Almost surely, 22212020121220 is an apocalyptic number.

2212020121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212020121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109111069680).

2212020121220 is an abundant number, since it is smaller than the sum of its proper divisors (4006202018140).

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

2212020121220 is a wasteful number, since it uses less digits than its factorization.

2212020121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93863 (or 93854 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2212020121220 its reverse (221210202122), we get a palindrome (2433230323342).

The spelling of 2212020121220 in words is "two trillion, two hundred twelve billion, twenty million, one hundred twenty-one thousand, two hundred twenty".