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220220122220120 = 2351131333737312721
BaseRepresentation
bin110010000100100111111110…
…001010000100011001011000
31001212201211121221212221110102
4302010213332022010121120
5212331041302242020440
62100211421050434532
764246243631336261
oct6204477612043130
91055654557787412
10220220122220120
1164194913959370
1220848175432a48
1395b588c68ccb9
143c549d4581968
151a6d66dc08b15
hexc849fe284658

220220122220120 has 256 divisors, whose sum is σ = 545377349911680. Its totient is φ = 79367720140800.

The previous prime is 220220122220117. The next prime is 220220122220123. The reversal of 220220122220120 is 21022221022022.

It is an interprime number because it is at equal distance from previous prime (220220122220117) and next prime (220220122220123).

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

It is a junction number, because it is equal to n+sod(n) for n = 220220122220092 and 220220122220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220122220123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17311535360 + ... + 17311548080.

Almost surely, 2220220122220120 is an apocalyptic number.

220220122220120 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 220220122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272688674955840).

220220122220120 is an abundant number, since it is smaller than the sum of its proper divisors (325157227691560).

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

220220122220120 is a wasteful number, since it uses less digits than its factorization.

220220122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220220122220120 its reverse (21022221022022), we get a palindrome (241242343242142).

The spelling of 220220122220120 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".