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1222101000120 = 23357111337274973
BaseRepresentation
bin10001110010001010111…
…001010101111110111000
311022211110022122020120110
4101302022321111332320
5130010330324000440
62333231521424320
7154202542050510
oct21621271257670
94284408566513
101222101000120
11431321177650
12178a2719b0a0
138b322340780
144321587a840
1521bca11a080
hex11c8ae55fb8

1222101000120 has 512 divisors, whose sum is σ = 5055649966080. Its totient is φ = 228072775680.

The previous prime is 1222101000119. The next prime is 1222101000191. The reversal of 1222101000120 is 210001012221.

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 = 1222101000096 and 1222101000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4306954 + ... + 4581926.

It is an arithmetic number, because the mean of its divisors is an integer number (9874316340).

Almost surely, 21222101000120 is an apocalyptic number.

1222101000120 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 1222101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527824983040).

1222101000120 is an abundant number, since it is smaller than the sum of its proper divisors (3833548965960).

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

1222101000120 is a wasteful number, since it uses less digits than its factorization.

1222101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275055 (or 275051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1222101000120 its reverse (210001012221), we get a palindrome (1432102012341).

The spelling of 1222101000120 in words is "one trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty", and thus it is an aban number.