Search a number
-
+
122120011110020 = 225711592297585131
BaseRepresentation
bin11011110001000101000111…
…111000011101011010000100
3121000101120002112200221111012
4123301011013320131122010
5112001303240321010040
61111421054132301352
734502610501246320
oct3361050770353204
9530346075627435
10122120011110020
1135a02895678250
1211843814771858
13531ab38268281
1422228d6518980
15e1b94d580865
hex6f1147e1d684

122120011110020 has 192 divisors, whose sum is σ = 325293696645120. Its totient is φ = 37401884083200.

The previous prime is 122120011110017. The next prime is 122120011110089. The reversal of 122120011110020 is 20011110021221.

It is a super-2 number, since 2×1221200111100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122120011109977 and 122120011110004.

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 63 ways as a sum of consecutive naturals, for example, 208412855 + ... + 208997985.

It is an arithmetic number, because the mean of its divisors is an integer number (1694238003360).

Almost surely, 2122120011110020 is an apocalyptic number.

122120011110020 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 122120011110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162646848322560).

122120011110020 is an abundant number, since it is smaller than the sum of its proper divisors (203173685535100).

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

122120011110020 is a wasteful number, since it uses less digits than its factorization.

122120011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587514 (or 587512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122120011110020 its reverse (20011110021221), we get a palindrome (142131121131241).

The spelling of 122120011110020 in words is "one hundred twenty-two trillion, one hundred twenty billion, eleven million, one hundred ten thousand, twenty".