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1232020013232 = 243312539326101
BaseRepresentation
bin10001111011011010000…
…111011000000010110000
311100210001121000022120110
4101323122013120002300
5130141134110410412
62341552052341320
7155003414216211
oct21733207300260
94323047008513
101232020013232
114355511a6a48
1217a935014840
138c2433135b8
14438b6d5b408
15220aad2bd3c
hex11eda1d80b0

1232020013232 has 80 divisors (see below), whose sum is σ = 3286690749440. Its totient is φ = 397268064000.

The previous prime is 1232020013219. The next prime is 1232020013261. The reversal of 1232020013232 is 2323100202321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1232020013199 and 1232020013208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3614982 + ... + 3941082.

It is an arithmetic number, because the mean of its divisors is an integer number (41083634368).

Almost surely, 21232020013232 is an apocalyptic number.

1232020013232 is a gapful number since it is divisible by the number (12) 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 1232020013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643345374720).

1232020013232 is an abundant number, since it is smaller than the sum of its proper divisors (2054670736208).

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

1232020013232 is a wasteful number, since it uses less digits than its factorization.

1232020013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328682 (or 328676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1232020013232 its reverse (2323100202321), we get a palindrome (3555120215553).

The spelling of 1232020013232 in words is "one trillion, two hundred thirty-two billion, twenty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2539 5078 7617 10156 15234 20312 30468 40624 60936 78709 121872 157418 236127 314836 326101 472254 629672 652202 944508 978303 1259344 1304404 1889016 1956606 2608808 3778032 3913212 5217616 7826424 10109131 15652848 20218262 30327393 40436524 60654786 80873048 121309572 161746096 242619144 485238288 827970439 1655940878 2483911317 3311881756 4967822634 6623763512 9935645268 13247527024 19871290536 25667083609 39742581072 51334167218 77001250827 102668334436 154002501654 205336668872 308005003308 410673337744 616010006616 1232020013232