Search a number
-
+
122121120020 = 2256106056001
BaseRepresentation
bin111000110111011111…
…1000110100100010100
3102200012211102200011012
41301232333012210110
54000101001320040
6132033543231352
711552163251534
oct1615677064424
9380184380135
10122121120020
1147878208a79
121b802148558
13b69278b383
145ca6d2d4c4
15329b2e0865
hex1c6efc6914

122121120020 has 12 divisors (see below), whose sum is σ = 256454352084. Its totient is φ = 48848448000.

The previous prime is 122121120019. The next prime is 122121120029. The reversal of 122121120020 is 20021121221.

It can be written as a sum of positive squares in 2 ways, for example, as 36727422736 + 85393697284 = 191644^2 + 292222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122121119977 and 122121120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121120029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3053027981 + ... + 3053028020.

It is an arithmetic number, because the mean of its divisors is an integer number (21371196007).

Almost surely, 2122121120020 is an apocalyptic number.

122121120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121120020 is an abundant number, since it is smaller than the sum of its proper divisors (134333232064).

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

122121120020 is a wasteful number, since it uses less digits than its factorization.

122121120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106056010 (or 6106056008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122121120020 its reverse (20021121221), we get a palindrome (142142241241).

The spelling of 122121120020 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 6106056001 12212112002 24424224004 30530280005 61060560010 122121120020