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20010000121120 = 255125062500757
BaseRepresentation
bin1001000110010111100001…
…11100101111110100100000
32121211221022022110021221001
410203023300330233310200
510110320440012333440
6110320244523241344
74133450312446642
oct443136074576440
977757268407831
1020010000121120
116415214455049
1222b20a4679254
13b21c20014379
144d26bc412892
1524a78cc69b9a
hex1232f0f2fd20

20010000121120 has 24 divisors (see below), whose sum is σ = 47273625286524. Its totient is φ = 8004000048384.

The previous prime is 20010000121099. The next prime is 20010000121121. The reversal of 20010000121120 is 2112100001002.

It can be written as a sum of positive squares in 2 ways, for example, as 17160372530064 + 2849627591056 = 4142508^2 + 1688084^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20010000121097 and 20010000121106.

It is not an unprimeable number, because it can be changed into a prime (20010000121121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62531250219 + ... + 62531250538.

Almost surely, 220010000121120 is an apocalyptic number.

20010000121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010000121120 is an abundant number, since it is smaller than the sum of its proper divisors (27263625165404).

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

20010000121120 is a wasteful number, since it uses less digits than its factorization.

20010000121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125062500772 (or 125062500764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20010000121120 its reverse (2112100001002), we get a palindrome (22122100122122).

The spelling of 20010000121120 in words is "twenty trillion, ten billion, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 125062500757 250125001514 500250003028 625312503785 1000500006056 1250625007570 2001000012112 2501250015140 4002000024224 5002500030280 10005000060560 20010000121120