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122001001000 = 2353122001001
BaseRepresentation
bin111000110011111010…
…0111000101000101000
3102122220110101222211121
41301213310320220220
53444324224013000
6132014012505024
711546204253364
oct1614764705050
9378813358747
10122001001000
114781642585a
121b789a7b174
13b673922228
145c94dc22a4
1532909b4b1a
hex1c67d38a28

122001001000 has 32 divisors (see below), whose sum is σ = 285482344680. Its totient is φ = 48800400000.

The previous prime is 122001000967. The next prime is 122001001033. The reversal of 122001001000 is 100100221.

It is an interprime number because it is at equal distance from previous prime (122001000967) and next prime (122001001033).

It can be written as a sum of positive squares in 4 ways, for example, as 4534406244 + 117466594756 = 67338^2 + 342734^2 .

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, 60999501 + ... + 61001500.

Almost surely, 2122001001000 is an apocalyptic number.

122001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001001000 is an abundant number, since it is smaller than the sum of its proper divisors (163481343680).

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

122001001000 is a wasteful number, since it uses less digits than its factorization.

122001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122001022 (or 122001008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 122001001000 its reverse (100100221), we get a palindrome (122101101221).

The spelling of 122001001000 in words is "one hundred twenty-two billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122001001 244002002 488004004 610005005 976008008 1220010010 2440020020 3050025025 4880040040 6100050050 12200100100 15250125125 24400200200 30500250250 61000500500 122001001000