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122010121000 = 23531011208021
BaseRepresentation
bin111000110100001011…
…1101011001100101000
3102122221002120100010101
41301220113223030220
53444334042333000
6132014540155144
711546344626325
oct1615027531450
9378832510111
10122010121000
1147820594849
121b790b38ab4
13b675796391
145c962b7b4c
1532916b6e6a
hex1c685eb328

122010121000 has 64 divisors (see below), whose sum is σ = 288330690960. Its totient is φ = 48320800000.

The previous prime is 122010120977. The next prime is 122010121021. The reversal of 122010121000 is 121010221.

It can be written as a sum of positive squares in 8 ways, for example, as 3223741284 + 118786379716 = 56778^2 + 344654^2 .

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 15 ways as a sum of consecutive naturals, for example, 503011 + ... + 705010.

Almost surely, 2122010121000 is an apocalyptic number.

122010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010121000 is an abundant number, since it is smaller than the sum of its proper divisors (166320569960).

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

122010121000 is a wasteful number, since it uses less digits than its factorization.

122010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208143 (or 1208129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122010121000 its reverse (121010221), we get a palindrome (122131131221).

The spelling of 122010121000 in words is "one hundred twenty-two billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 1208021 2416042 4832084 6040105 9664168 12080210 24160420 30200525 48320840 60401050 120802100 122010121 151002625 241604200 244020242 302005250 488040484 604010500 610050605 976080968 1208021000 1220101210 2440202420 3050253025 4880404840 6100506050 12201012100 15251265125 24402024200 30502530250 61005060500 122010121000