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122132133321 = 31129031274879
BaseRepresentation
bin111000110111110100…
…1000111010111001001
3102200020121011012120020
41301233221013113021
54000111311231241
6132035015251053
711552356001352
oct1615751072711
9380217135506
10122132133321
1147883450480
121b805979a89
13b694b46213
145ca8598d29
15329c268b66
hex1c6fa475c9

122132133321 has 16 divisors (see below), whose sum is σ = 177708072960. Its totient is φ = 73993919120.

The previous prime is 122132133293. The next prime is 122132133341. The reversal of 122132133321 is 123331231221.

It is not a de Polignac number, because 122132133321 - 221 = 122130036169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122132133291 and 122132133300.

It is not an unprimeable number, because it can be changed into a prime (122132133341) 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, 541641 + ... + 733238.

It is an arithmetic number, because the mean of its divisors is an integer number (11106754560).

Almost surely, 2122132133321 is an apocalyptic number.

122132133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122132133321 is a deficient number, since it is larger than the sum of its proper divisors (55575939639).

122132133321 is a wasteful number, since it uses less digits than its factorization.

122132133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277796.

The product of its digits is 1296, while the sum is 24.

Adding to 122132133321 its reverse (123331231221), we get a palindrome (245463364542).

The spelling of 122132133321 in words is "one hundred twenty-two billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 11 33 2903 8709 31933 95799 1274879 3824637 14023669 42071007 3700973737 11102921211 40710711107 122132133321