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122020002001000 = 2353122020002001
BaseRepresentation
bin11011101111100111111110…
…110111111111000001101000
3121000000222221201220211000101
4123233213332313333001220
5111443133431003013000
61111303114242115144
734462440253662025
oct3357477667770150
9530028851824011
10122020002001000
1135974435090434
121182836394bab4
13531158a8b969c
14221bb2a1a654c
15e19048646e6a
hex6ef9fedff068

122020002001000 has 32 divisors (see below), whose sum is σ = 285526804684680. Its totient is φ = 48808000800000.

The previous prime is 122020002000979. The next prime is 122020002001049. The reversal of 122020002001000 is 100200020221.

It can be written as a sum of positive squares in 4 ways, for example, as 40771519726564 + 81248482274436 = 6385258^2 + 9013794^2 .

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

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, 61010000001 + ... + 61010002000.

Almost surely, 2122020002001000 is an apocalyptic number.

122020002001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020002001000 is an abundant number, since it is smaller than the sum of its proper divisors (163506802683680).

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

122020002001000 is a wasteful number, since it uses less digits than its factorization.

122020002001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122020002022 (or 122020002008 counting only the distinct ones).

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

Adding to 122020002001000 its reverse (100200020221), we get a palindrome (122120202021221).

The spelling of 122020002001000 in words is "one hundred twenty-two trillion, twenty billion, two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122020002001 244040004002 488080008004 610100010005 976160016008 1220200020010 2440400040020 3050500050025 4880800080040 6101000100050 12202000200100 15252500250125 24404000400200 30505000500250 61010001000500 122020002001000