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122240422000 = 2453509120079
BaseRepresentation
bin111000111011000011…
…0001101000001110000
3102200112010220211201001
41301312012031001300
54000322022001000
6132053444251344
711555142304654
oct1616606150160
9380463824631
10122240422000
1147929593354
121b8360a0b54
13b6b13cc668
145cb8b06a64
1532a6a0946a
hex1c7618d070

122240422000 has 80 divisors (see below), whose sum is σ = 296160508800. Its totient is φ = 48799699200.

The previous prime is 122240421983. The next prime is 122240422001. The reversal of 122240422000 is 224042221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240422001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957961 + ... + 1078039.

It is an arithmetic number, because the mean of its divisors is an integer number (3702006360).

Almost surely, 2122240422000 is an apocalyptic number.

122240422000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122240422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148080254400).

122240422000 is an abundant number, since it is smaller than the sum of its proper divisors (173920086800).

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

122240422000 is a wasteful number, since it uses less digits than its factorization.

122240422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120611 (or 120595 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 122240422000 its reverse (224042221), we get a palindrome (122464464221).

The spelling of 122240422000 in words is "one hundred twenty-two billion, two hundred forty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 509 1000 1018 2000 2036 2545 4072 5090 8144 10180 12725 20360 25450 40720 50900 63625 101800 120079 127250 203600 240158 254500 480316 509000 600395 960632 1018000 1200790 1921264 2401580 3001975 4803160 6003950 9606320 12007900 15009875 24015800 30019750 48031600 60039500 61120211 120079000 122240422 240158000 244480844 305601055 488961688 611202110 977923376 1222404220 1528005275 2444808440 3056010550 4889616880 6112021100 7640026375 12224042200 15280052750 24448084400 30560105500 61120211000 122240422000