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122202012011220 = 223352068211094183
BaseRepresentation
bin11011110010010001011111…
…100001000100101011010100
3121000200101202022212022221000
4123302101133201010223110
5112004124210033324340
61111522455044223300
734511542530355161
oct3362213741045324
9530611668768830
10122202012011220
1135a34644a86a89
121185769a69ab30
1353257a5aa169b
142226874d05068
15e1db4c53dd30
hex6f245f844ad4

122202012011220 has 96 divisors (see below), whose sum is σ = 380186223056640. Its totient is φ = 32587015858560.

The previous prime is 122202012011197. The next prime is 122202012011227. The reversal of 122202012011220 is 22110210202221.

It is a happy number.

122202012011220 is a `hidden beast` number, since 1 + 2 + 220 + 20 + 1 + 201 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122202012011193 and 122202012011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202012011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111136249 + ... + 112230431.

It is an arithmetic number, because the mean of its divisors is an integer number (3960273156840).

Almost surely, 2122202012011220 is an apocalyptic number.

122202012011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202012011220 is an abundant number, since it is smaller than the sum of its proper divisors (257984211045420).

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

122202012011220 is a wasteful number, since it uses less digits than its factorization.

122202012011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301022 (or 1301014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122202012011220 its reverse (22110210202221), we get a palindrome (144312222213441).

The spelling of 122202012011220 in words is "one hundred twenty-two trillion, two hundred two billion, twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 206821 413642 620463 827284 1034105 1094183 1240926 1861389 2068210 2188366 2481852 3102315 3282549 3722778 4136420 4376732 5470915 5584167 6204630 6565098 7445556 9306945 9847647 10941830 11168334 12409260 13130196 16412745 18613890 19695294 21883660 22336668 27920835 29542941 32825490 37227780 39390588 49238235 55841670 59085882 65650980 98476470 111683340 118171764 147714705 196952940 295429410 590858820 226300022243 452600044486 678900066729 905200088972 1131500111215 1357800133458 2036700200187 2263000222430 2715600266916 3394500333645 4073400400374 4526000444860 6110100600561 6789000667290 8146800800748 10183501000935 12220201201122 13578001334580 20367002001870 24440402402244 30550503002805 40734004003740 61101006005610 122202012011220