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122020201022000 = 2453106157502451
BaseRepresentation
bin11011101111101000001010…
…101111001100001000110000
3121000001000110121102010111112
4123233220022233030020300
5111443134332430201000
61111303150111532452
734462445221431131
oct3357501257141060
9530030417363445
10122020201022000
11359745274648a6
12118283ba52a128
1353115bcbc01a8
14221bb487b1c88
15e1905ad5b235
hex6efa0abcc230

122020201022000 has 80 divisors (see below), whose sum is σ = 295322933060064. Its totient is φ = 48762077600000.

The previous prime is 122020201021967. The next prime is 122020201022021. The reversal of 122020201022000 is 220102020221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26629226 + ... + 30873225.

Almost surely, 2122020201022000 is an apocalyptic number.

122020201022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020201022000 is an abundant number, since it is smaller than the sum of its proper divisors (173302732038064).

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

122020201022000 is a wasteful number, since it uses less digits than its factorization.

122020201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57503535 (or 57503519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122020201022000 its reverse (220102020221), we get a palindrome (122240303042221).

The spelling of 122020201022000 in words is "one hundred twenty-two trillion, twenty billion, two hundred one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1061 2000 2122 4244 5305 8488 10610 16976 21220 26525 42440 53050 84880 106100 132625 212200 265250 424400 530500 1061000 2122000 57502451 115004902 230009804 287512255 460019608 575024510 920039216 1150049020 1437561275 2300098040 2875122550 4600196080 5750245100 7187806375 11500490200 14375612750 23000980400 28751225500 57502451000 61010100511 115004902000 122020201022 244040402044 305050502555 488080804088 610101005110 976161608176 1220202010220 1525252512775 2440404020440 3050505025550 4880808040880 6101010051100 7626262563875 12202020102200 15252525127750 24404040204400 30505050255500 61010100511000 122020201022000