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122000022096 = 24317751199081
BaseRepresentation
bin111000110011111000…
…1001001101001010000
3102122220101120021000220
41301213301021221100
53444324001201341
6132013535513040
711546163035421
oct1614761115120
9378811507026
10122000022096
1147815917347
121b789688780
13b67366b7b4
145c94c09648
15329086ea66
hex1c67c49a50

122000022096 has 80 divisors (see below), whose sum is σ = 334151970048. Its totient is φ = 38223360000.

The previous prime is 122000022091. The next prime is 122000022103. The reversal of 122000022096 is 690220000221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000022091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 513276 + ... + 712356.

Almost surely, 2122000022096 is an apocalyptic number.

122000022096 is a gapful number since it is divisible by the number (16) 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 122000022096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167075985024).

122000022096 is an abundant number, since it is smaller than the sum of its proper divisors (212151947952).

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

122000022096 is a wasteful number, since it uses less digits than its factorization.

122000022096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199860 (or 199854 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 122000022096 in words is "one hundred twenty-two billion, twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 751 816 1502 2253 3004 4506 6008 9012 12016 12767 18024 25534 36048 38301 51068 76602 102136 153204 199081 204272 306408 398162 597243 612816 796324 1194486 1592648 2388972 3185296 3384377 4777944 6768754 9555888 10153131 13537508 20306262 27075016 40612524 54150032 81225048 149509831 162450096 299019662 448529493 598039324 897058986 1196078648 1794117972 2392157296 2541667127 3588235944 5083334254 7176471888 7625001381 10166668508 15250002762 20333337016 30500005524 40666674032 61000011048 122000022096