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122022132001 = 71123411680491
BaseRepresentation
bin111000110100100010…
…1011111100100100001
3102122221221011120010021
41301221011133210201
53444400131211001
6132020045433441
711546552002660
oct1615105374441
9378857146107
10122022132001
11478273488a0
121b794b6b881
13b678110393
145c97b22dd7
15329278aba1
hex1c6915f921

122022132001 has 32 divisors (see below), whose sum is σ = 162617849856. Its totient is φ = 88729872000.

The previous prime is 122022131941. The next prime is 122022132019. The reversal of 122022132001 is 100231220221.

It is a happy number.

It is not a de Polignac number, because 122022132001 - 211 = 122022129953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122022132061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767635 + ... + 912856.

It is an arithmetic number, because the mean of its divisors is an integer number (5081807808).

Almost surely, 2122022132001 is an apocalyptic number.

122022132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122022132001 is a deficient number, since it is larger than the sum of its proper divisors (40595717855).

122022132001 is a wasteful number, since it uses less digits than its factorization.

122022132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680573.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122022132001 its reverse (100231220221), we get a palindrome (222253352222).

The spelling of 122022132001 in words is "one hundred twenty-two billion, twenty-two million, one hundred thirty-two thousand, one".

Divisors: 1 7 11 23 41 77 161 253 287 451 943 1771 3157 6601 10373 72611 1680491 11763437 18485401 38651293 68900131 129397807 270559051 425164223 482300917 757901441 1584703013 2976149561 5305310087 11092921091 17431733143 122022132001