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122344050334001 = 3734910639890543
BaseRepresentation
bin11011110100010101110001…
…101010010001100100110001
3121001011222101020000201212112
4123310111301222101210301
5112013441103341142001
61112112025242335105
734525031422240406
oct3364256152214461
9531158336021775
10122344050334001
1135a89902a02201
121187b11aaba495
135335cc0a38022
14222d6ab1262ad
15e226b2192cbb
hex6f4571a91931

122344050334001 has 16 divisors (see below), whose sum is σ = 126022662528000. Its totient is φ = 118685082852288.

The previous prime is 122344050333881. The next prime is 122344050334007. The reversal of 122344050334001 is 100433050443221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122344050334001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122344050334007) 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, 136936136 + ... + 137826678.

It is an arithmetic number, because the mean of its divisors is an integer number (7876416408000).

Almost surely, 2122344050334001 is an apocalyptic number.

It is an amenable number.

122344050334001 is a deficient number, since it is larger than the sum of its proper divisors (3678612193999).

122344050334001 is a wasteful number, since it uses less digits than its factorization.

122344050334001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901568.

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 122344050334001 in words is "one hundred twenty-two trillion, three hundred forty-four billion, fifty million, three hundred thirty-four thousand, one".

Divisors: 1 37 349 10639 12913 393643 890543 3713011 32950091 137381407 310799507 9474486977 11499581759 350556018149 3306595954973 122344050334001