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122013300231000 = 233253233716099901
BaseRepresentation
bin11011101111100001101111…
…011010110000101101011000
3121000000100122200100121212200
4123233201233122300231120
5111443031214324343000
61111300045240010200
734462112215611003
oct3357415732605530
9530010580317780
10122013300231000
1135971606111442
1211826bb3460960
135310a603119c9
14221b6920bc53a
15e18ca50dc500
hex6ef86f6b0b58

122013300231000 has 768 divisors, whose sum is σ = 442285647148800. Its totient is φ = 30259215360000.

The previous prime is 122013300230999. The next prime is 122013300231007. The reversal of 122013300231000 is 132003310221.

122013300231000 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 330 + 0 + 2 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×1220133002310002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013300231007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12323326050 + ... + 12323335950.

It is an arithmetic number, because the mean of its divisors is an integer number (575892769725).

Almost surely, 2122013300231000 is an apocalyptic number.

122013300231000 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 122013300231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221142823574400).

122013300231000 is an abundant number, since it is smaller than the sum of its proper divisors (320272346917800).

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

122013300231000 is a wasteful number, since it uses less digits than its factorization.

122013300231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11580 counting only the distinct ones).

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

Adding to 122013300231000 its reverse (132003310221), we get a palindrome (122145303541221).

The spelling of 122013300231000 in words is "one hundred twenty-two trillion, thirteen billion, three hundred million, two hundred thirty-one thousand".