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20001352020120 = 233351491103112687
BaseRepresentation
bin1001000110000111011010…
…11110110111000010011000
32121211002222121112020121000
410203003231132313002120
510110200232104120440
6110312254432345000
74133023102012332
oct443035536670230
977732877466530
1020001352020120
116411586865839
1222b04903a5160
13b21172433743
144d20dba40452
1524a4338ee730
hex1230ed7b7098

20001352020120 has 256 divisors, whose sum is σ = 67180078080000. Its totient is φ = 5293047126528.

The previous prime is 20001352020107. The next prime is 20001352020121. The reversal of 20001352020120 is 2102025310002.

20001352020120 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 3 + 520 + 20 + 120 = 666.

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 = 20001352020093 and 20001352020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001352020121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177438417 + ... + 177551103.

It is an arithmetic number, because the mean of its divisors is an integer number (262422180000).

Almost surely, 220001352020120 is an apocalyptic number.

20001352020120 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 20001352020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33590039040000).

20001352020120 is an abundant number, since it is smaller than the sum of its proper divisors (47178726059880).

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

20001352020120 is a wasteful number, since it uses less digits than its factorization.

20001352020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113959 (or 113949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20001352020120 its reverse (2102025310002), we get a palindrome (22103377330122).

The spelling of 20001352020120 in words is "twenty trillion, one billion, three hundred fifty-two million, twenty thousand, one hundred twenty".