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122234043132 = 223229599114713
BaseRepresentation
bin111000111010110110…
…1110111101011111100
3102200111200220202112200
41301311231313223330
54000313403340012
6132053055431500
711555034136455
oct1616555675374
9380450822480
10122234043132
1147925a26863
121b833b25590
13b6acca8096
145cb7d2612c
1532a61993dc
hex1c75b77afc

122234043132 has 36 divisors (see below), whose sum is σ = 308993630400. Its totient is φ = 40742949312.

The previous prime is 122234043121. The next prime is 122234043133. The reversal of 122234043132 is 231340432221.

122234043132 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 340 + 4 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1222340431322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122234043096 and 122234043105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122234043133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008208 + ... + 1122920.

It is an arithmetic number, because the mean of its divisors is an integer number (8583156400).

Almost surely, 2122234043132 is an apocalyptic number.

122234043132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122234043132 is an abundant number, since it is smaller than the sum of its proper divisors (186759587268).

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

122234043132 is a wasteful number, since it uses less digits than its factorization.

122234043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144322 (or 144317 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122234043132 its reverse (231340432221), we get a palindrome (353574475353).

The spelling of 122234043132 in words is "one hundred twenty-two billion, two hundred thirty-four million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 29599 59198 88797 114713 118396 177594 229426 266391 344139 355188 458852 532782 688278 1032417 1065564 1376556 2064834 4129668 3395390087 6790780174 10186170261 13581560348 20372340522 30558510783 40744681044 61117021566 122234043132