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20212201122120 = 23335713719515121
BaseRepresentation
bin1001001100010000001010…
…00100010110100101001000
32122120021020001022102012000
410212020011010112211020
510122124041441401440
6110553205040351000
74154166120552330
oct446100504264510
978507201272160
1020212201122120
116492a45669937
122325315315460
13b380053256a7
144dc3c09520c0
15250b74557730
hex126205116948

20212201122120 has 256 divisors, whose sum is σ = 77560900876800. Its totient is φ = 4586209320960.

The previous prime is 20212201122097. The next prime is 20212201122143. The reversal of 20212201122120 is 2122110221202.

Adding to 20212201122120 its reverse (2122110221202), we get a palindrome (22334311343322).

It is a happy number.

20212201122120 is a `hidden beast` number, since 202 + 1 + 220 + 1 + 1 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20212201122097) and next prime (20212201122143).

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 = 20212201122093 and 20212201122102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8721841 + ... + 10793280.

It is an arithmetic number, because the mean of its divisors is an integer number (302972269050).

Almost surely, 220212201122120 is an apocalyptic number.

20212201122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212201122120 is an abundant number, since it is smaller than the sum of its proper divisors (57348699754680).

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

20212201122120 is a wasteful number, since it uses less digits than its factorization.

20212201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515285 (or 19515275 counting only the distinct ones).

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

The spelling of 20212201122120 in words is "twenty trillion, two hundred twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".