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122441241330030 = 23572175698610913
BaseRepresentation
bin11011110101110000010010…
…101100100000000101101110
3121001112021020122000220002010
4123311300102230200011232
5112022034130240030110
61112224421342542050
734535042050130100
oct3365602254400556
9531467218026063
10122441241330030
1136017047770017
1211895b23b97926
13534220c5b712c
14223428b09b570
15e24e9e9b5020
hex6f5c12b2016e

122441241330030 has 192 divisors, whose sum is σ = 362580100234560. Its totient is φ = 26294005334016.

The previous prime is 122441241330017. The next prime is 122441241330077. The reversal of 122441241330030 is 30033142144221.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122441241330030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9913854 + ... + 18524766.

It is an arithmetic number, because the mean of its divisors is an integer number (1888438022055).

Almost surely, 2122441241330030 is an apocalyptic number.

122441241330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122441241330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181290050117280).

122441241330030 is an abundant number, since it is smaller than the sum of its proper divisors (240138858904530).

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

122441241330030 is a wasteful number, since it uses less digits than its factorization.

122441241330030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611523 (or 8611516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122441241330030 its reverse (30033142144221), we get a palindrome (152474383474251).

The spelling of 122441241330030 in words is "one hundred twenty-two trillion, four hundred forty-one billion, two hundred forty-one million, three hundred thirty thousand, thirty".