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122133022020 = 22335226172263
BaseRepresentation
bin111000110111110110…
…0100000010101000100
3102200020122211100122000
41301233230200111010
54000112023201040
6132035050305300
711552366362332
oct1615754402504
9380218740560
10122133022020
11478839a8139
121b806128230
13b695097889
145ca874ab52
15329c392130
hex1c6fb20544

122133022020 has 48 divisors (see below), whose sum is σ = 379969403520. Its totient is φ = 32568805728.

The previous prime is 122133022013. The next prime is 122133022027. The reversal of 122133022020 is 20220331221.

It is an interprime number because it is at equal distance from previous prime (122133022013) and next prime (122133022027).

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 = 122133021984 and 122133022002.

It is not an unprimeable number, because it can be changed into a prime (122133022027) 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, 113085592 + ... + 113086671.

It is an arithmetic number, because the mean of its divisors is an integer number (7916029240).

Almost surely, 2122133022020 is an apocalyptic number.

122133022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133022020 is an abundant number, since it is smaller than the sum of its proper divisors (257836381500).

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

122133022020 is a wasteful number, since it uses less digits than its factorization.

122133022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226172281 (or 226172273 counting only the distinct ones).

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

Adding to 122133022020 its reverse (20220331221), we get a palindrome (142353353241).

The spelling of 122133022020 in words is "one hundred twenty-two billion, one hundred thirty-three million, twenty-two thousand, 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 226172263 452344526 678516789 904689052 1130861315 1357033578 2035550367 2261722630 2714067156 3392583945 4071100734 4523445260 6106651101 6785167890 8142201468 10177751835 12213302202 13570335780 20355503670 24426604404 30533255505 40711007340 61066511010 122133022020