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20122020011200 = 26521917311233407
BaseRepresentation
bin1001001001101000001011…
…10110101101110011000000
32122020122110011122022120211
410210310011312231303000
510114134344110324300
6110443532310243504
74144524262012522
oct444640566556300
978218404568524
1020122020011200
1164587787974a8
12230b947956594
13b2c662b309b3
144d7ca798ba12
1524d6473534ba
hex124d05dadcc0

20122020011200 has 336 divisors, whose sum is σ = 52482021649920. Its totient is φ = 7572136366080.

The previous prime is 20122020011189. The next prime is 20122020011267. The reversal of 20122020011200 is 211002022102.

It is a happy number.

It is a super-2 number, since 2×201220200112002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5906079897 + ... + 5906083303.

Almost surely, 220122020011200 is an apocalyptic number.

20122020011200 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 20122020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241010824960).

20122020011200 is an abundant number, since it is smaller than the sum of its proper divisors (32360001638720).

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

20122020011200 is a wasteful number, since it uses less digits than its factorization.

20122020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122020011200 its reverse (211002022102), we get a palindrome (20333022033302).

The spelling of 20122020011200 in words is "twenty trillion, one hundred twenty-two billion, twenty million, eleven thousand, two hundred".