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122140041221 = 11179297120879
BaseRepresentation
bin111000111000000011…
…1010010000000000101
3102200021011000222011102
41301300013102000011
54000120322304341
6132035500545445
711552513135432
oct1616007220005
9380234028142
10122140041221
1147887961830
121b808552285
13b696684753
145ca9656b89
15329cccbc9b
hex1c701d2005

122140041221 has 16 divisors (see below), whose sum is σ = 134039577600. Its totient is φ = 110373634800.

The previous prime is 122140041217. The next prime is 122140041259.

122140041221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122140041221 - 22 = 122140041217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122140041193 and 122140041202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140041281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5839460 + ... + 5860338.

It is an arithmetic number, because the mean of its divisors is an integer number (8377473600).

Almost surely, 2122140041221 is an apocalyptic number.

122140041221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122140041221 is a deficient number, since it is larger than the sum of its proper divisors (11899536379).

122140041221 is a wasteful number, since it uses less digits than its factorization.

122140041221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1221400 and 41221, that added together give a palindrome (1262621).

The spelling of 122140041221 in words is "one hundred twenty-two billion, one hundred forty million, forty-one thousand, two hundred twenty-one".

Divisors: 1 11 179 1969 2971 20879 32681 229669 531809 3737341 5849899 41110751 62031509 682346599 11103640111 122140041221