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122221201002201 = 327132710771135731
BaseRepresentation
bin11011110010100011010111…
…010001010000111011011001
3121000202020021122100001221200
4123302203113101100323121
5112004433004424032301
61111535351123024413
734513122204164250
oct3362432721207331
9530666248301850
10122221201002201
1135a417a1735a14
121185b354b0b109
135327543440512
1422277755d7797
15e1e3c1eaac86
hex6f28d7450ed9

122221201002201 has 48 divisors (see below), whose sum is σ = 201934260123648. Its totient is φ = 69781062405600.

The previous prime is 122221201002163. The next prime is 122221201002209. The reversal of 122221201002201 is 102200102122221.

It is a happy number.

122221201002201 is a `hidden beast` number, since 1 + 2 + 222 + 120 + 100 + 220 + 1 = 666.

It is not a de Polignac number, because 122221201002201 - 219 = 122221200477913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122221201002209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900398506 + ... + 900534236.

It is an arithmetic number, because the mean of its divisors is an integer number (4206963752576).

Almost surely, 2122221201002201 is an apocalyptic number.

It is an amenable number.

122221201002201 is a deficient number, since it is larger than the sum of its proper divisors (79713059121447).

122221201002201 is a wasteful number, since it uses less digits than its factorization.

122221201002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147842 (or 147839 counting only the distinct ones).

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

Adding to 122221201002201 its reverse (102200102122221), we get a palindrome (224421303124422).

The spelling of 122221201002201 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred one million, two thousand, two hundred one".

Divisors: 1 3 7 9 21 63 1327 3981 9289 10771 11943 27867 32313 75397 83601 96939 135731 226191 407193 678573 950117 1221579 2850351 8551053 14293117 42879351 100051819 128638053 180115037 300155457 540345111 900466371 1260805259 1461958601 1621035333 3782415777 4385875803 10233710207 11347247331 13157627409 30701130621 92103391863 1940019063527 5820057190581 13580133444689 17460171571743 40740400334067 122221201002201