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122120102020201 = 17472394791335079
BaseRepresentation
bin11011110001000101001101…
…010011010000010001101001
3121000101120022212202122210221
4123301011031103100101221
5112001303432104121301
61111421111141010041
734502612654052505
oct3361051523202151
9530346285678727
10122120102020201
1135a02931a2042a
121184383b0b3921
13531ab5104858c
142222904621305
15e1b95653bda1
hex6f114d4d0469

122120102020201 has 32 divisors (see below), whose sum is σ = 132884250624000. Its totient is φ = 111786486803712.

The previous prime is 122120102020199. The next prime is 122120102020261. The reversal of 122120102020201 is 102020201021221.

It is a happy number.

It is not a de Polignac number, because 122120102020201 - 21 = 122120102020199 is a prime.

It is a super-2 number, since 2×1221201020202012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120102020261) 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, 90802780 + ... + 92137858.

It is an arithmetic number, because the mean of its divisors is an integer number (4152632832000).

Almost surely, 2122120102020201 is an apocalyptic number.

It is an amenable number.

122120102020201 is a deficient number, since it is larger than the sum of its proper divisors (10764148603799).

122120102020201 is a wasteful number, since it uses less digits than its factorization.

122120102020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335861.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122120102020201 its reverse (102020201021221), we get a palindrome (224140303041422).

It can be divided in two parts, 1221201020 and 20201, that added together give a palindrome (1221221221).

The spelling of 122120102020201 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred two million, twenty thousand, two hundred one".

Divisors: 1 17 47 239 479 799 4063 8143 11233 22513 114481 190961 382721 1335079 1946177 5380607 22696343 62748713 91470319 319083881 639502841 1066728121 5424425977 10871548297 14996942407 30056633527 152841178999 254948020919 510962769959 2598300042983 7183535412953 122120102020201