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1022130125120 = 265133114895323
BaseRepresentation
bin11101101111110111011…
…00111111100101000000
310121201022000011021001202
432313323230333211000
5113221310303000440
62101320551520332
7133563223466156
oct16677354774500
93551260137052
101022130125120
113645348994a5
121461193890a8
137550407b230
14376855bb3d6
151b8c44ea615
hexedfbb3f940

1022130125120 has 224 divisors, whose sum is σ = 2708053877760. Its totient is φ = 364913786880.

The previous prime is 1022130125101. The next prime is 1022130125141. The reversal of 1022130125120 is 215210312201.

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 = 1022130125092 and 1022130125101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192018779 + ... + 192024101.

It is an arithmetic number, because the mean of its divisors is an integer number (12089526240).

Almost surely, 21022130125120 is an apocalyptic number.

1022130125120 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 1022130125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354026938880).

1022130125120 is an abundant number, since it is smaller than the sum of its proper divisors (1685923752640).

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

1022130125120 is a wasteful number, since it uses less digits than its factorization.

1022130125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1022130125120 its reverse (215210312201), we get a palindrome (1237340437321).

The spelling of 1022130125120 in words is "one trillion, twenty-two billion, one hundred thirty million, one hundred twenty-five thousand, one hundred twenty".