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20000013120120 = 233511192207361327
BaseRepresentation
bin1001000110000100111011…
…01011010111001001111000
32121210222112022011002002010
410203002131223113021320
510110140011324320440
6110311513523205520
74132644653364645
oct443023553271170
977728468132063
1020000013120120
116410a5a009410
1222b0177b168a0
13b20cbac28817
144d2011cb4dcc
1524a3a60c8580
hex12309dad7278

20000013120120 has 256 divisors, whose sum is σ = 68930976153600. Its totient is φ = 4591210498560.

The previous prime is 20000013120071. The next prime is 20000013120151. The reversal of 20000013120120 is 2102131000002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20000013120096 and 20000013120105.

It is a congruent number.

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, 55170897 + ... + 55532223.

It is an arithmetic number, because the mean of its divisors is an integer number (269261625600).

Almost surely, 220000013120120 is an apocalyptic number.

20000013120120 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 20000013120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34465488076800).

20000013120120 is an abundant number, since it is smaller than the sum of its proper divisors (48930963033480).

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

20000013120120 is a wasteful number, since it uses less digits than its factorization.

20000013120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363578 (or 363574 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20000013120120 its reverse (2102131000002), we get a palindrome (22102144120122).

The spelling of 20000013120120 in words is "twenty trillion, thirteen million, one hundred twenty thousand, one hundred twenty".