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122131132221 = 37237913923027
BaseRepresentation
bin111000110111110010…
…1010010111100111101
3102200020112021100022110
41301233211102330331
54000111032212341
6132034542004233
711552344331610
oct1615745227475
9380215240273
10122131132221
114788292731a
121b805576679
13b694885657
145ca83b8177
15329c11c216
hex1c6f952f3d

122131132221 has 64 divisors (see below), whose sum is σ = 198077644800. Its totient is φ = 65432892096.

The previous prime is 122131132219. The next prime is 122131132241. The reversal of 122131132221 is 122231131221.

It is not a de Polignac number, because 122131132221 - 21 = 122131132219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131132241) 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 63 ways as a sum of consecutive naturals, for example, 5292310 + ... + 5315336.

It is an arithmetic number, because the mean of its divisors is an integer number (3094963200).

Almost surely, 2122131132221 is an apocalyptic number.

It is an amenable number.

122131132221 is a deficient number, since it is larger than the sum of its proper divisors (75946512579).

122131132221 is a wasteful number, since it uses less digits than its factorization.

122131132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278.

The product of its digits is 288, while the sum is 21.

Adding to 122131132221 its reverse (122231131221), we get a palindrome (244362263442).

The spelling of 122131132221 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 69 79 139 161 237 417 483 553 973 1659 1817 2919 3197 5451 9591 10981 12719 22379 23027 32943 38157 67137 69081 76867 161189 230601 252563 483567 529621 757689 1588863 1767941 1819133 3200753 3707347 5303823 5457399 9602259 11122041 12733931 22405271 38201793 41840059 67215813 73617319 125520177 220851957 252859487 292880413 515321233 758578461 878641239 1545963699 1770016409 5310049227 5815768201 17447304603 40710377407 122131132221