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22121112134124 = 223534765586011
BaseRepresentation
bin1010000011110011110010…
…00001111110000111101100
32220022202110100011020100000
411001321321001332013230
510344413014201242444
6115014144300304300
74442124531463623
oct501717101760754
986282410136300
1022121112134124
117059569115853
122593277842090
13c460202711a3
1456694ba306ba
1528564a79a469
hex141e7907e1ec

22121112134124 has 72 divisors (see below), whose sum is σ = 58155379184448. Its totient is φ = 7352454065040.

The previous prime is 22121112134123. The next prime is 22121112134153. The reversal of 22121112134124 is 42143121112122.

22121112134124 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 11 + 213 + 412 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22121112134123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32455722 + ... + 33130289.

It is an arithmetic number, because the mean of its divisors is an integer number (807713599784).

Almost surely, 222121112134124 is an apocalyptic number.

It is an amenable number.

22121112134124 is an abundant number, since it is smaller than the sum of its proper divisors (36034267050324).

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

22121112134124 is a wasteful number, since it uses less digits than its factorization.

22121112134124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65586377 (or 65586363 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 22121112134124 its reverse (42143121112122), we get a palindrome (64264233246246).

The spelling of 22121112134124 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 347 486 694 972 1041 1388 2082 3123 4164 6246 9369 12492 18738 28107 37476 56214 84321 112428 168642 337284 65586011 131172022 196758033 262344044 393516066 590274099 787032132 1180548198 1770822297 2361096396 3541644594 5312466891 7083289188 10624933782 15937400673 21249867564 22758345817 31874801346 45516691634 63749602692 68275037451 91033383268 136550074902 204825112353 273100149804 409650224706 614475337059 819300449412 1228950674118 1843426011177 2457901348236 3686852022354 5530278033531 7373704044708 11060556067062 22121112134124