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122331320221201 = 71359791283224797
BaseRepresentation
bin11011110100001001111010…
…111000101111111000010001
3121001010202112001002000001021
4123310021322320233320101
5112013234020434034301
61112102122132035441
734524101104124050
oct3364117270577021
9531122461060037
10122331320221201
1135a84470104023
1211878767762b81
135334a4254c9c0
14222cc20572397
15e221b97a28a1
hex6f427ae2fe11

122331320221201 has 64 divisors (see below), whose sum is σ = 155173203763200. Its totient is φ = 93871054607616.

The previous prime is 122331320221189. The next prime is 122331320221283. The reversal of 122331320221201 is 102122023133221.

It is not a de Polignac number, because 122331320221201 - 27 = 122331320221073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122331320221801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544073335 + ... + 544298131.

It is an arithmetic number, because the mean of its divisors is an integer number (2424581308800).

Almost surely, 2122331320221201 is an apocalyptic number.

It is an amenable number.

122331320221201 is a deficient number, since it is larger than the sum of its proper divisors (32841883541999).

122331320221201 is a wasteful number, since it uses less digits than its factorization.

122331320221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226238.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122331320221201 its reverse (102122023133221), we get a palindrome (224453343354422).

The spelling of 122331320221201 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, three hundred twenty million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 7 13 59 79 91 413 553 767 1027 1283 4661 5369 7189 8981 16679 32627 60593 75697 101357 116753 224797 424151 529879 709499 984061 1317641 1573579 2922361 5980063 6888427 9223487 13263023 17758963 20456527 41860441 77740819 92841161 124312741 172419299 230866519 288414551 544185733 1047778817 1206935093 1616065633 2018901857 3749389163 7334451719 13621124621 17016458509 22784749529 26245724141 95347872347 119115209563 159493246703 221213960617 296201743877 1344300222211 1548497724319 2073412207139 9410101555477 17475902888743 122331320221201