Search a number
-
+
122031033000312 = 2338127316256223
BaseRepresentation
bin11011101111110010010000…
…010111111010000101111000
3121000002001102111200122022110
4123233302100113322011320
5111443324023422002222
61111312141014452320
734463310520634622
oct3357622027720570
9530061374618273
10122031033000312
1135979085871497
121182a5220640a0
135312628078b07
14221c495225c12
15e19491cab30c
hex6efc905fa178

122031033000312 has 32 divisors (see below), whose sum is σ = 305078006638080. Its totient is φ = 40676954448480.

The previous prime is 122031033000259. The next prime is 122031033000319. The reversal of 122031033000312 is 213000330130221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122031033000319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16377433 + ... + 22633655.

It is an arithmetic number, because the mean of its divisors is an integer number (9533687707440).

Almost surely, 2122031033000312 is an apocalyptic number.

122031033000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122031033000312 is an abundant number, since it is smaller than the sum of its proper divisors (183046973637768).

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

122031033000312 is a wasteful number, since it uses less digits than its factorization.

122031033000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068963 (or 7068959 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122031033000312 its reverse (213000330130221), we get a palindrome (335031363130533).

The spelling of 122031033000312 in words is "one hundred twenty-two trillion, thirty-one billion, thirty-three million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 812731 1625462 2438193 3250924 4876386 6256223 6501848 9752772 12512446 18768669 19505544 25024892 37537338 50049784 75074676 150149352 5084626375013 10169252750026 15253879125039 20338505500052 30507758250078 40677011000104 61015516500156 122031033000312