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122144447778221 = 1126247161590883
BaseRepresentation
bin11011110001011011111000…
…011010111100110110101101
3121000110220011120121022100102
4123301123320122330312231
5112002203312112400341
61111440215031040445
734504434165432041
oct3361337032746655
9530426146538312
10122144447778221
1135a12195520800
12118484b4510125
135320230b7405b
142223b73b42021
15e1c3cda79c9b
hex6f16f86bcdad

122144447778221 has 12 divisors (see below), whose sum is σ = 134279439149856. Its totient is φ = 111022631386920.

The previous prime is 122144447778163. The next prime is 122144447778247. The reversal of 122144447778221 is 122877744441221.

It is not a de Polignac number, because 122144447778221 - 210 = 122144447777197 is a prime.

It is a super-2 number, since 2×1221444477782212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144447778121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80039555 + ... + 81551328.

It is an arithmetic number, because the mean of its divisors is an integer number (11189953262488).

Almost surely, 2122144447778221 is an apocalyptic number.

122144447778221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122144447778221 is a deficient number, since it is larger than the sum of its proper divisors (12134991371635).

122144447778221 is a wasteful number, since it uses less digits than its factorization.

122144447778221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161597152 (or 161597141 counting only the distinct ones).

The product of its digits is 11239424, while the sum is 56.

The spelling of 122144447778221 in words is "one hundred twenty-two trillion, one hundred forty-four billion, four hundred forty-seven million, seven hundred seventy-eight thousand, two hundred twenty-one".

Divisors: 1 11 121 6247 68717 755887 161590883 1777499713 19552496843 1009458246101 11104040707111 122144447778221