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20201012001120 = 253542085441669
BaseRepresentation
bin1001001011111011010100…
…01001001111100101100000
32122112012100021000011201010
410211331222021033211200
510121433133033013440
6110544114454540520
74153321623602316
oct445755211174540
978465307004633
1020201012001120
1164892236a96a5
122323112067740
13b36c41182732
144dba3c8d20b6
1525071c0ac580
hex125f6a24f960

20201012001120 has 48 divisors (see below), whose sum is σ = 63633187805040. Its totient is φ = 5386936533504.

The previous prime is 20201012001101. The next prime is 20201012001133. The reversal of 20201012001120 is 2110021010202.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 20201012001096 and 20201012001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21042720355 + ... + 21042721314.

It is an arithmetic number, because the mean of its divisors is an integer number (1325691412605).

Almost surely, 220201012001120 is an apocalyptic number.

20201012001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201012001120 is an abundant number, since it is smaller than the sum of its proper divisors (43432175803920).

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

20201012001120 is a wasteful number, since it uses less digits than its factorization.

20201012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42085441687 (or 42085441679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201012001120 its reverse (2110021010202), we get a palindrome (22311033011322).

The spelling of 20201012001120 in words is "twenty trillion, two hundred one billion, twelve million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42085441669 84170883338 126256325007 168341766676 210427208345 252512650014 336683533352 420854416690 505025300028 631281625035 673367066704 841708833380 1010050600056 1262563250070 1346734133408 1683417666760 2020101200112 2525126500140 3366835333520 4040202400224 5050253000280 6733670667040 10100506000560 20201012001120