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122132240121141 = 3326399171348017
BaseRepresentation
bin11011110001010000100000…
…110010011011110100110101
3121000102201122210202002001000
4123301100200302123310311
5112002003311432334031
61111430435422353513
734503522523160055
oct3361204062336465
9530381583662030
10122132240121141
1135a07aa0627308
121184606812b899
13531c0369a3c23
14222333670b565
15e1be16e8b3e6
hex6f1420c9bd35

122132240121141 has 16 divisors (see below), whose sum is σ = 180943507008000. Its totient is φ = 81418408674624.

The previous prime is 122132240121131. The next prime is 122132240121211. The reversal of 122132240121141 is 141121042231221.

122132240121141 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 2 + 2 + 401 + 211 + 41 = 666.

It is not a de Polignac number, because 122132240121141 - 29 = 122132240120629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132240121131) by changing a digit.

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, 84961236 + ... + 86386781.

It is an arithmetic number, because the mean of its divisors is an integer number (11308969188000).

Almost surely, 2122132240121141 is an apocalyptic number.

It is an amenable number.

122132240121141 is a deficient number, since it is larger than the sum of its proper divisors (58811266886859).

122132240121141 is a wasteful number, since it uses less digits than its factorization.

122132240121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171374425 (or 171374419 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 122132240121141 its reverse (141121042231221), we get a palindrome (263253282352362).

The spelling of 122132240121141 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred forty million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 26399 79197 237591 712773 171348017 514044051 1542132153 4626396459 4523416300783 13570248902349 40710746707047 122132240121141