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122002133220 = 223251161617239
BaseRepresentation
bin111000110011111100…
…1001101000011100100
3102122220112112111221200
41301213321031003210
53444330021230340
6132014053042500
711546220010332
oct1614771150344
9378815474850
10122002133220
1147817029480
121b78a326430
13b673c2a696
145c951d8b52
153290b3a330
hex1c67e4d0e4

122002133220 has 72 divisors (see below), whose sum is σ = 403716156480. Its totient is φ = 29576274240.

The previous prime is 122002133189. The next prime is 122002133221. The reversal of 122002133220 is 22331200221.

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 = 122002133193 and 122002133202.

It is not an unprimeable number, because it can be changed into a prime (122002133221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30806640 + ... + 30810599.

It is an arithmetic number, because the mean of its divisors is an integer number (5607168840).

Almost surely, 2122002133220 is an apocalyptic number.

122002133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002133220 is an abundant number, since it is smaller than the sum of its proper divisors (281714023260).

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

122002133220 is a wasteful number, since it uses less digits than its factorization.

122002133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61617265 (or 61617260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122002133220 its reverse (22331200221), we get a palindrome (144333333441).

The spelling of 122002133220 in words is "one hundred twenty-two billion, two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 61617239 123234478 184851717 246468956 308086195 369703434 554555151 616172390 677789629 739406868 924258585 1109110302 1232344780 1355579258 1848517170 2033368887 2218220604 2711158516 2772775755 3388948145 3697034340 4066737774 5545551510 6100106661 6777896290 8133475548 10166844435 11091103020 12200213322 13555792580 20333688870 24400426644 30500533305 40667377740 61001066610 122002133220