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121325832 = 233215710733
BaseRepresentation
bin1110011101101…
…00100100001000
322110021222202100
413032310210020
5222024411312
620012233400
73002152425
oct716644410
9273258670
10121325832
1162537991
123476b860
131c19c544
1412182d4c
15a9b85dc
hex73b4908

121325832 has 48 divisors (see below), whose sum is σ = 330714540. Its totient is φ = 40180608.

The previous prime is 121325801. The next prime is 121325839. The reversal of 121325832 is 238523121.

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 14699556 = 10326^2 + 3834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121325796 and 121325805.

It is not an unprimeable number, because it can be changed into a prime (121325839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5938 + ... + 16670.

Almost surely, 2121325832 is an apocalyptic number.

121325832 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 121325832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165357270).

121325832 is an abundant number, since it is smaller than the sum of its proper divisors (209388708).

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

121325832 is a wasteful number, since it uses less digits than its factorization.

121325832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10902 (or 10895 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121325832 is about 11014.8005882994. The cubic root of 121325832 is about 495.0523115820.

Adding to 121325832 its reverse (238523121), we get a palindrome (359848953).

The spelling of 121325832 in words is "one hundred twenty-one million, three hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 10733 11304 21466 32199 42932 64398 85864 96597 128796 193194 257592 386388 772776 1685081 3370162 5055243 6740324 10110486 13480648 15165729 20220972 30331458 40441944 60662916 121325832