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122111344124 = 227111151344453
BaseRepresentation
bin111000110111001100…
…1110011110111111100
3102200012011001000010222
41301232121303313330
54000041001002444
6132032553520512
711552014204430
oct1615631636774
9380164030128
10122111344124
1147872741220
121b7baa13138
13b690747813
145ca59069c0
15329a50deee
hex1c6e673dfc

122111344124 has 48 divisors (see below), whose sum is σ = 266656997376. Its totient is φ = 47534376000.

The previous prime is 122111344111. The next prime is 122111344133. The reversal of 122111344124 is 421443111221.

It is a super-2 number, since 2×1221113441242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111344093 and 122111344102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182282 + ... + 526734.

It is an arithmetic number, because the mean of its divisors is an integer number (5555354112).

Almost surely, 2122111344124 is an apocalyptic number.

122111344124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122111344124 is an abundant number, since it is smaller than the sum of its proper divisors (144545653252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111344124 is a wasteful number, since it uses less digits than its factorization.

122111344124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345626 (or 345624 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 122111344124 its reverse (421443111221), we get a palindrome (543554455345).

The spelling of 122111344124 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1151 2302 4604 8057 12661 16114 25322 32228 50644 88627 177254 344453 354508 688906 1377812 2411171 3788983 4822342 7577966 9644684 15155932 26522881 53045762 106091524 396465403 792930806 1585861612 2775257821 4361119433 5550515642 8722238866 11101031284 17444477732 30527836031 61055672062 122111344124