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1230032123232 = 253112617445091
BaseRepresentation
bin10001111001100011101…
…000001011010101100000
311100120221001110001010220
4101321203220023111200
5130123101210420412
62341022521123040
7154603225352433
oct21714350132540
94316831401126
101230032123232
11434721080850
1217a47b329480
138bcb7519323
1443768d3581a
1521ee155c68c
hex11e63a0b560

1230032123232 has 96 divisors (see below), whose sum is σ = 3523718588544. Its totient is φ = 372593740800.

The previous prime is 1230032123191. The next prime is 1230032123237. The reversal of 1230032123232 is 2323212300321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230032123237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541007 + ... + 2986097.

It is an arithmetic number, because the mean of its divisors is an integer number (36705401964).

Almost surely, 21230032123232 is an apocalyptic number.

1230032123232 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 1230032123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761859294272).

1230032123232 is an abundant number, since it is smaller than the sum of its proper divisors (2293686465312).

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

1230032123232 is a wasteful number, since it uses less digits than its factorization.

1230032123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447732 (or 447724 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1230032123232 its reverse (2323212300321), we get a palindrome (3553244423553).

The spelling of 1230032123232 in words is "one trillion, two hundred thirty billion, thirty-two million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2617 5234 7851 10468 15702 20936 28787 31404 41872 57574 62808 83744 86361 115148 125616 172722 230296 251232 345444 445091 460592 690888 890182 921184 1335273 1381776 1780364 2670546 2763552 3560728 4896001 5341092 7121456 9792002 10682184 14242912 14688003 19584004 21364368 29376006 39168008 42728736 58752012 78336016 117504024 156672032 235008048 470016096 1164803147 2329606294 3494409441 4659212588 6988818882 9318425176 12812834617 13977637764 18636850352 25625669234 27955275528 37273700704 38438503851 51251338468 55910551056 76877007702 102502676936 111821102112 153754015404 205005353872 307508030808 410010707744 615016061616 1230032123232