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122112001244040 = 23353889126165437
BaseRepresentation
bin11011110000111101101010…
…011101001111101110001000
3121000100210102022201121000020
4123300331222131033232020
5112001140334304302130
61111413251241140440
734502205140435343
oct3360755235175610
9530323368647006
10122112001244040
11359aa4552813a5
121184215a18a720
13531a15c97c5c2
14222237680345a
15e1b630286e10
hex6f0f6a74fb88

122112001244040 has 64 divisors (see below), whose sum is σ = 366345437290560. Its totient is φ = 32562361793280.

The previous prime is 122112001243961. The next prime is 122112001244071. The reversal of 122112001244040 is 40442100211221.

It is a happy number.

It is a super-2 number, since 2×1221120012440402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122112001244040.

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, 8415799 + ... + 17749638.

It is an arithmetic number, because the mean of its divisors is an integer number (5724147457665).

Almost surely, 2122112001244040 is an apocalyptic number.

122112001244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112001244040 is an abundant number, since it is smaller than the sum of its proper divisors (244233436046520).

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

122112001244040 is a wasteful number, since it uses less digits than its factorization.

122112001244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26204342 (or 26204338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122112001244040 its reverse (40442100211221), we get a palindrome (162554101455261).

The spelling of 122112001244040 in words is "one hundred twenty-two trillion, one hundred twelve billion, one million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 38891 77782 116673 155564 194455 233346 311128 388910 466692 583365 777820 933384 1166730 1555640 2333460 4666920 26165437 52330874 78496311 104661748 130827185 156992622 209323496 261654370 313985244 392481555 523308740 627970488 784963110 1046617480 1569926220 3139852440 1017600010367 2035200020734 3052800031101 4070400041468 5088000051835 6105600062202 8140800082936 10176000103670 12211200124404 15264000155505 20352000207340 24422400248808 30528000311010 40704000414680 61056000622020 122112001244040