Search a number
-
+
20122122020000 = 2554711131005101
BaseRepresentation
bin1001001001101000010111…
…11011110110010010100000
32122020122201021120220100112
410210310023323312102200
510114140101214120000
6110443550352510452
74144526641042340
oct444641373662240
978218637526315
1020122122020000
1164588203301a0
12230b975b4b428
13b2c67acc8930
144d7cb7342d20
1524d6512a3235
hex124d0bef64a0

20122122020000 has 480 divisors, whose sum is σ = 66466221300864. Its totient is φ = 5789376000000.

The previous prime is 20122122019949. The next prime is 20122122020017. The reversal of 20122122020000 is 2022122102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19517450 + ... + 20522550.

Almost surely, 220122122020000 is an apocalyptic number.

20122122020000 is a gapful number since it is divisible by the number (20) 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 20122122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33233110650432).

20122122020000 is an abundant number, since it is smaller than the sum of its proper divisors (46344099280864).

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

20122122020000 is a wasteful number, since it uses less digits than its factorization.

20122122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005162 (or 1005139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20122122020000 its reverse (2022122102), we get a palindrome (20124144142102).

The spelling of 20122122020000 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand".