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122054240000000 = 211577119907
BaseRepresentation
bin11011110000000111110111…
…100111100101100000000000
3121000011021022211202101002102
4123300013313213211200000
5111444214040420000000
61111330535505205532
734465061564114060
oct3360076747454000
9530137284671072
10122054240000000
1135987a04594880
1211832b1a0308a8
135314885ca32a9
14221d6573d93a0
15e19d9e3593d5
hex6f01f79e5800

122054240000000 has 768 divisors, whose sum is σ = 380373338741760. Its totient is φ = 38039040000000.

The previous prime is 122054239999963. The next prime is 122054240000023. The reversal of 122054240000000 is 42450221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12319995047 + ... + 12320004953.

It is an arithmetic number, because the mean of its divisors is an integer number (495277784820).

Almost surely, 2122054240000000 is an apocalyptic number.

122054240000000 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 122054240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190186669370880).

122054240000000 is an abundant number, since it is smaller than the sum of its proper divisors (258319098741760).

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

122054240000000 is an frugal number, since it uses more digits than its factorization.

122054240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 122054240000000 its reverse (42450221), we get a palindrome (122054282450221).

The spelling of 122054240000000 in words is "one hundred twenty-two trillion, fifty-four billion, two hundred forty million", and thus it is an aban number.