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120020202001000 = 2353717145743143
BaseRepresentation
bin11011010010100001100001…
…100000011001001001101000
3120201221211010020102000110201
4123102201201200121021220
5111212402333203013000
61103132304123521544
734165113330311230
oct3322414140311150
9521854106360421
10120020202001000
1135273311122604
12115648769892b4
1351c7b1990c612
14218d01a0d8cc0
15dd2002ec396a
hex6d2861819268

120020202001000 has 64 divisors (see below), whose sum is σ = 320968311655680. Its totient is φ = 41149783540800.

The previous prime is 120020202000989. The next prime is 120020202001001. The reversal of 120020202001000 is 100202020021.

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

It is not an unprimeable number, because it can be changed into a prime (120020202001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8572864572 + ... + 8572878571.

It is an arithmetic number, because the mean of its divisors is an integer number (5015129869620).

Almost surely, 2120020202001000 is an apocalyptic number.

120020202001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020202001000 is an abundant number, since it is smaller than the sum of its proper divisors (200948109654680).

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

120020202001000 is a wasteful number, since it uses less digits than its factorization.

120020202001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17145743171 (or 17145743157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020202001000 its reverse (100202020021), we get a palindrome (120120404021021).

The spelling of 120020202001000 in words is "one hundred twenty trillion, twenty billion, two hundred two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 17145743143 34291486286 68582972572 85728715715 120020202001 137165945144 171457431430 240040404002 342914862860 428643578575 480080808004 600101010005 685829725720 857287157150 960161616008 1200202020010 1714574314300 2143217892875 2400404040020 3000505050025 3429148628600 4286435785750 4800808080040 6001010100050 8572871571500 12002020200100 15002525250125 17145743143000 24004040400200 30005050500250 60010101000500 120020202001000