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1032123312220 = 2257111355919221
BaseRepresentation
bin11110000010011110101…
…01111110100001011100
310122200002110002202122111
433001033111332201130
5113402242031442340
62110052332323404
7134365656254350
oct17011725764134
93580073082574
101032123312220
113687a277a910
12148048013564
13764375216b0
1437d52889460
151bcab9aeaea
hexf04f57e85c

1032123312220 has 192 divisors, whose sum is σ = 2910990845952. Its totient is φ = 296869248000.

The previous prime is 1032123312203. The next prime is 1032123312263. The reversal of 1032123312220 is 222133212301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1032123312191 and 1032123312200.

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, 111927210 + ... + 111936430.

It is an arithmetic number, because the mean of its divisors is an integer number (15161410656).

Almost surely, 21032123312220 is an apocalyptic number.

1032123312220 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 1032123312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455495422976).

1032123312220 is an abundant number, since it is smaller than the sum of its proper divisors (1878867533732).

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

1032123312220 is a wasteful number, since it uses less digits than its factorization.

1032123312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1032123312220 its reverse (222133212301), we get a palindrome (1254256524521).

The spelling of 1032123312220 in words is "one trillion, thirty-two billion, one hundred twenty-three million, three hundred twelve thousand, two hundred twenty".