Search a number
-
+
122120210002000 = 245378722872143
BaseRepresentation
bin11011110001000101010011…
…101111001011000001010000
3121000101120121101221200222211
4123301011103233023001100
5112001304142230031000
61111421125555241504
734502615434640320
oct3361052357130120
9530346541850884
10122120210002000
1135a02987973791
121184386b2a9294
13531ab6a525132
142222914acd280
15e1b960c6b7ba
hex6f1153bcb050

122120210002000 has 80 divisors (see below), whose sum is σ = 337470477507072. Its totient is φ = 41869786281600.

The previous prime is 122120210001973. The next prime is 122120210002001. The reversal of 122120210002000 is 200012021221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120210002001) 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, 4361422072 + ... + 4361450071.

Almost surely, 2122120210002000 is an apocalyptic number.

122120210002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120210002000 is an abundant number, since it is smaller than the sum of its proper divisors (215350267505072).

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

122120210002000 is an equidigital number, since it uses as much as digits as its factorization.

122120210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722872173 (or 8722872157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122120210002000 its reverse (200012021221), we get a palindrome (122320222023221).

The spelling of 122120210002000 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 8722872143 17445744286 34891488572 43614360715 61060105001 69782977144 87228721430 122120210002 139565954288 174457442860 218071803575 244240420004 305300525005 348914885720 436143607150 488480840008 610601050010 697829771440 872287214300 976961680016 1090359017875 1221202100020 1526502625025 1744574428600 2180718035750 2442404200040 3053005250050 3489148857200 4361436071500 4884808400080 6106010500100 7632513125125 8722872143000 12212021000200 15265026250250 17445744286000 24424042000400 30530052500500 61060105001000 122120210002000