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1032120012220 = 22511234710194259
BaseRepresentation
bin11110000010011110010…
…01011000110110111100
310122200002012220002220021
433001033021120312330
5113402240210342340
62110052133501524
7134365616231353
oct17011711306674
93580065802807
101032120012220
113687a0926540
12148046aa18a4
137643693762b
1437d5226a99a
151bcab55be4a
hexf04f258dbc

1032120012220 has 192 divisors, whose sum is σ = 2522857881600. Its totient is φ = 350932778240.

The previous prime is 1032120012193. The next prime is 1032120012241. The reversal of 1032120012220 is 222100212301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1032120012194 and 1032120012203.

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, 242336451 + ... + 242340709.

It is an arithmetic number, because the mean of its divisors is an integer number (13139884800).

Almost surely, 21032120012220 is an apocalyptic number.

1032120012220 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 1032120012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261428940800).

1032120012220 is an abundant number, since it is smaller than the sum of its proper divisors (1490737869380).

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

1032120012220 is a wasteful number, since it uses less digits than its factorization.

1032120012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1032120012220 its reverse (222100212301), we get a palindrome (1254220224521).

The spelling of 1032120012220 in words is "one trillion, thirty-two billion, one hundred twenty million, twelve thousand, two hundred twenty".