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122131201022001 = 3229994524886111
BaseRepresentation
bin11011110001001111100010…
…110110100101100000110001
3121000102121222101111100222200
4123301033202312211200301
5112001444144430201001
61111430144343053413
734503455005032363
oct3361174266454061
9530377871440880
10122131201022001
1135a07608028796
1211845a18141269
13531bbcc627272
142223278702d33
15e1bda5b35086
hex6f13e2da5831

122131201022001 has 12 divisors (see below), whose sum is σ = 176470558368000. Its totient is φ = 81393651346680.

The previous prime is 122131201021933. The next prime is 122131201022053. The reversal of 122131201022001 is 100220102131221.

122131201022001 is a `hidden beast` number, since 122 + 1 + 312 + 0 + 10 + 220 + 0 + 1 = 666.

122131201022001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122131201022001 - 211 = 122131201019953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122131201022801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2262416065 + ... + 2262470046.

It is an arithmetic number, because the mean of its divisors is an integer number (14705879864000).

Almost surely, 2122131201022001 is an apocalyptic number.

It is an amenable number.

122131201022001 is a deficient number, since it is larger than the sum of its proper divisors (54339357345999).

122131201022001 is a wasteful number, since it uses less digits than its factorization.

122131201022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524889116 (or 4524889113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122131201022001 its reverse (100220102131221), we get a palindrome (222351303153222).

The spelling of 122131201022001 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred one million, twenty-two thousand, one".

Divisors: 1 3 9 2999 8997 26991 4524886111 13574658333 40723974999 13570133446889 40710400340667 122131201022001