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122220212000190 = 23561120155609493
BaseRepresentation
bin11011110010100010011100…
…010100100001010110111110
3121000202010201201100120020120
4123302202130110201112332
5112004423443233001230
61111535105033155410
734513055534620413
oct3362423424412676
9530663651316216
10122220212000190
1135a41334444087
121185b11985bb66
135327416584225
1422276c011010a
15e1e36524d310
hex6f289c5215be

122220212000190 has 64 divisors (see below), whose sum is σ = 298385419021632. Its totient is φ = 32031067392000.

The previous prime is 122220212000189. The next prime is 122220212000191. The reversal of 122220212000190 is 91000212022221.

It is an interprime number because it is at equal distance from previous prime (122220212000189) and next prime (122220212000191).

It is a super-3 number, since 3×1222202120001903 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 122220212000190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220212000191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25606917 + ... + 30002576.

It is an arithmetic number, because the mean of its divisors is an integer number (4662272172213).

Almost surely, 2122220212000190 is an apocalyptic number.

122220212000190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122220212000190 is an abundant number, since it is smaller than the sum of its proper divisors (176165207021442).

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

122220212000190 is a wasteful number, since it uses less digits than its factorization.

122220212000190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55610765.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 122220212000190 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred twelve million, one hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1201 1830 2402 3603 6005 7206 12010 18015 36030 73261 146522 219783 366305 439566 732610 1098915 2197830 55609493 111218986 166828479 278047465 333656958 556094930 834142395 1668284790 3392179073 6784358146 10176537219 16960895365 20353074438 33921790730 50882686095 66787001093 101765372190 133574002186 200361003279 333935005465 400722006558 667870010930 1001805016395 2003610032790 4074007066673 8148014133346 12222021200019 20370035333365 24444042400038 40740070666730 61110106000095 122220212000190