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1220022000120 = 2335711727181619
BaseRepresentation
bin10001110000001110111…
…110100101100111111000
311022122002102122002201110
4101300032332211213320
5124442101113000440
62332245333320320
7154100165616150
oct21601676454770
94278072562643
101220022000120
11430454682130
12178546a960a0
138b0806c6261
14430996d9760
1521b07850080
hex11c0efa59f8

1220022000120 has 256 divisors, whose sum is σ = 4569501081600. Its totient is φ = 253160962560.

The previous prime is 1220022000073. The next prime is 1220022000139. The reversal of 1220022000120 is 210002200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220022000096 and 1220022000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626671 + ... + 6808289.

It is an arithmetic number, because the mean of its divisors is an integer number (17849613600).

Almost surely, 21220022000120 is an apocalyptic number.

1220022000120 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 1220022000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284750540800).

1220022000120 is an abundant number, since it is smaller than the sum of its proper divisors (3349479081480).

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

1220022000120 is a wasteful number, since it uses less digits than its factorization.

1220022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182378 (or 182374 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220022000120 its reverse (210002200221), we get a palindrome (1430024200341).

The spelling of 1220022000120 in words is "one trillion, two hundred twenty billion, twenty-two million, one hundred twenty", and thus it is an aban number.