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122140343041221 = 383667973442651
BaseRepresentation
bin11011110001011000000011…
…110000100111110011000101
3121000110111120111211001202010
4123301120003300213303011
5112002121410304304341
61111434255440204433
734504230363643551
oct3361300360476305
9530414514731663
10122140343041221
1135a1047950007a
1211847749909719
13531ca286409ab
1422238a4926861
15e1c23d516716
hex6f1603c27cc5

122140343041221 has 16 divisors (see below), whose sum is σ = 164840563560960. Its totient is φ = 80433802738800.

The previous prime is 122140343041217. The next prime is 122140343041237.

It is a happy number.

122140343041221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122140343041221 - 22 = 122140343041217 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140343045221) 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 15 ways as a sum of consecutive naturals, for example, 35058255 + ... + 38384396.

It is an arithmetic number, because the mean of its divisors is an integer number (10302535222560).

Almost surely, 2122140343041221 is an apocalyptic number.

It is an amenable number.

122140343041221 is a deficient number, since it is larger than the sum of its proper divisors (42700220519739).

122140343041221 is an equidigital number, since it uses as much as digits as its factorization.

122140343041221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73449416.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 122140343041221 in words is "one hundred twenty-two trillion, one hundred forty billion, three hundred forty-three million, forty-one thousand, two hundred twenty-one".

Divisors: 1 3 83 249 6679 20037 554357 1663071 73442651 220327953 6095740033 18287220099 490523466029 1471570398087 40713447680407 122140343041221