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20122232114000 = 245310061116057
BaseRepresentation
bin1001001001101000100100…
…11111110100101101010000
32122020122222221202020221002
410210310102133310231100
510114140312410122000
6110444005324321132
74144532445605162
oct444642237645520
978218887666832
1020122232114000
116458877496475
12230b9a69a31a8
13b2c697a64a03
144d7cc7c00932
1524d65ac9d8d5
hex124d127f4b50

20122232114000 has 40 divisors (see below), whose sum is σ = 48655557256488. Its totient is φ = 8048892844800.

The previous prime is 20122232113903. The next prime is 20122232114003. The reversal of 20122232114000 is 41123222102.

It can be written as a sum of positive squares in 4 ways, for example, as 3131809774864 + 16990422339136 = 1769692^2 + 4121944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122232114003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5030556029 + ... + 5030560028.

Almost surely, 220122232114000 is an apocalyptic number.

20122232114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122232114000 is an abundant number, since it is smaller than the sum of its proper divisors (28533325142488).

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

20122232114000 is a wasteful number, since it uses less digits than its factorization.

20122232114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061116080 (or 10061116064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20122232114000 its reverse (41123222102), we get a palindrome (20163355336102).

The spelling of 20122232114000 in words is "twenty trillion, one hundred twenty-two billion, two hundred thirty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10061116057 20122232114 40244464228 50305580285 80488928456 100611160570 160977856912 201222321140 251527901425 402444642280 503055802850 804889284560 1006111605700 1257639507125 2012223211400 2515279014250 4024446422800 5030558028500 10061116057000 20122232114000