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122102313300000 = 2533551131132619
BaseRepresentation
bin11011110000110100101001…
…000000101011000000100000
3121000022212102011011001012000
4123300310221000223000200
5112001011014201100000
61111405010043004000
734501413102324465
oct3360645100530040
9530285364131160
10122102313300000
11359a6333725680
12118402b5809600
135319277821537
142221ad7cb166c
15e1b2649ba000
hex6f0d2902b020

122102313300000 has 1152 divisors, whose sum is σ = 501271516569600. Its totient is φ = 28645488000000.

The previous prime is 122102313299933. The next prime is 122102313300007. The reversal of 122102313300000 is 3313201221.

122102313300000 is a `hidden beast` number, since 122 + 10 + 231 + 3 + 300 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1221023133000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122102313300007) 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 191 ways as a sum of consecutive naturals, for example, 920633691 + ... + 920766309.

It is an arithmetic number, because the mean of its divisors is an integer number (435131524800).

Almost surely, 2122102313300000 is an apocalyptic number.

122102313300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102313300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250635758284800).

122102313300000 is an abundant number, since it is smaller than the sum of its proper divisors (379169203269600).

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

122102313300000 is a wasteful number, since it uses less digits than its factorization.

122102313300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132705 (or 132671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122102313300000 its reverse (3313201221), we get a palindrome (122105626501221).

The spelling of 122102313300000 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred thirteen million, three hundred thousand".