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20122122022000 = 245324917403783
BaseRepresentation
bin1001001001101000010111…
…11011110110110001110000
32122020122201021121000002121
410210310023323312301300
510114140101214201000
6110443550352524024
74144526641051225
oct444641373666160
978218637530077
1020122122022000
116458820331749
12230b975b50614
13b2c67acc980b
144d7cb734394c
1524d6512a3b1a
hex124d0bef6c70

20122122022000 has 80 divisors (see below), whose sum is σ = 48657364247232. Its totient is φ = 8048505849600.

The previous prime is 20122122021971. The next prime is 20122122022001. The reversal of 20122122022000 is 22022122102.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122122022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49632109 + ... + 50035891.

Almost surely, 220122122022000 is an apocalyptic number.

20122122022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122122022000 is an abundant number, since it is smaller than the sum of its proper divisors (28535242225232).

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

20122122022000 is a wasteful number, since it uses less digits than its factorization.

20122122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428723 (or 428707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20122122022000 its reverse (22022122102), we get a palindrome (20144144144102).

The spelling of 20122122022000 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 24917 49834 99668 124585 199336 249170 398672 403783 498340 622925 807566 996680 1245850 1615132 1993360 2018915 2491700 3114625 3230264 4037830 4983400 6229250 6460528 8075660 9966800 10094575 12458500 16151320 20189150 24917000 32302640 40378300 49834000 50472875 80756600 100945750 161513200 201891500 403783000 807566000 10061061011 20122122022 40244244044 50305305055 80488488088 100610610110 160976976176 201221220220 251526525275 402442440440 503053050550 804884880880 1006106101100 1257632626375 2012212202200 2515265252750 4024424404400 5030530505500 10061061011000 20122122022000