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122231012001 = 3723126822693
BaseRepresentation
bin111000111010110001…
…0010011101010100001
3102200111111012202121120
41301311202103222201
54000312114341001
6132052510442453
711554666313400
oct1616542235241
9380444182546
10122231012001
114792424649a
121b832b03429
13b6ac486507
145cb7777637
1532a5c9b236
hex1c75893aa1

122231012001 has 24 divisors (see below), whose sum is σ = 195698375424. Its totient is φ = 67593183840.

The previous prime is 122231011999. The next prime is 122231012003. The reversal of 122231012001 is 100210132221.

It is an interprime number because it is at equal distance from previous prime (122231011999) and next prime (122231012003).

It is not a de Polignac number, because 122231012001 - 21 = 122231011999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122231012003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13406790 + ... + 13415903.

It is an arithmetic number, because the mean of its divisors is an integer number (8154098976).

Almost surely, 2122231012001 is an apocalyptic number.

It is an amenable number.

122231012001 is a deficient number, since it is larger than the sum of its proper divisors (73467363423).

122231012001 is a wasteful number, since it uses less digits than its factorization.

122231012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26822741 (or 26822734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122231012001 its reverse (100210132221), we get a palindrome (222441144222).

The spelling of 122231012001 in words is "one hundred twenty-two billion, two hundred thirty-one million, twelve thousand, one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 26822693 80468079 187758851 563276553 831503483 1314311957 2494510449 3942935871 5820524381 17461573143 40743670667 122231012001