Search a number
-
+
122041932600000 = 26355729699787
BaseRepresentation
bin11011101111111100011010…
…000010100101001011000000
3121000010002120010012200012210
4123233330122002211023000
5111444013334221200000
61111321142335022120
734464144601000320
oct3357743202451300
9530102503180183
10122041932600000
1135982769365016
121183066436a940
13531367424c69a
14221cc0aa3d280
15e198cdb17350
hex6eff1a0a52c0

122041932600000 has 672 divisors, whose sum is σ = 461462429514240. Its totient is φ = 27883054080000.

The previous prime is 122041932599989. The next prime is 122041932600011. The reversal of 122041932600000 is 6239140221.

It is an interprime number because it is at equal distance from previous prime (122041932599989) and next prime (122041932600011).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12469795107 + ... + 12469804893.

It is an arithmetic number, because the mean of its divisors is an integer number (686700043920).

Almost surely, 2122041932600000 is an apocalyptic number.

122041932600000 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 122041932600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230731214757120).

122041932600000 is an abundant number, since it is smaller than the sum of its proper divisors (339420496914240).

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

122041932600000 is an frugal number, since it uses more digits than its factorization.

122041932600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 122041932600000 in words is "one hundred twenty-two trillion, forty-one billion, nine hundred thirty-two million, six hundred thousand".