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122340495400 = 235243103138113
BaseRepresentation
bin111000111110000001…
…1111101000000101000
3102200210010020002121021
41301330003331000220
54001023131323100
6132111421222224
711560466024104
oct1617403750050
9380703202537
10122340495400
1147980024a42
121b863701974
13b6c906a6a6
145cc8116904
1532b06c5a1a
hex1c7c0fd028

122340495400 has 96 divisors (see below), whose sum is σ = 293884493760. Its totient is φ = 47333744640.

The previous prime is 122340495397. The next prime is 122340495413. The reversal of 122340495400 is 4594043221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816744 + ... + 954856.

It is an arithmetic number, because the mean of its divisors is an integer number (3061296810).

Almost surely, 2122340495400 is an apocalyptic number.

122340495400 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 122340495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146942246880).

122340495400 is an abundant number, since it is smaller than the sum of its proper divisors (171543998360).

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

122340495400 is a wasteful number, since it uses less digits than its factorization.

122340495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138275 (or 138266 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 122340495400 in words is "one hundred twenty-two billion, three hundred forty million, four hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 103 172 200 206 215 344 412 430 515 824 860 1030 1075 1720 2060 2150 2575 4120 4300 4429 5150 8600 8858 10300 17716 20600 22145 35432 44290 88580 110725 138113 177160 221450 276226 442900 552452 690565 885800 1104904 1381130 2762260 3452825 5524520 5938859 6905650 11877718 13811300 14225639 23755436 27622600 28451278 29694295 47510872 56902556 59388590 71128195 113805112 118777180 142256390 148471475 237554360 284512780 296942950 355640975 569025560 593885900 611702477 711281950 1187771800 1223404954 1422563900 2446809908 2845127800 3058512385 4893619816 6117024770 12234049540 15292561925 24468099080 30585123850 61170247700 122340495400