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332125121020 = 225711291812227
BaseRepresentation
bin1001101010101000011…
…00110010100111111100
31011202021101000021010011
410311110030302213330
520420143012333040
6412324241553004
732665240643320
oct4652414624774
91152241007104
10332125121020
11118942a771a0
1254450045764
132541c568b64
14121098d5980
15898cb633ea
hex4d543329fc

332125121020 has 288 divisors, whose sum is σ = 908531043840. Its totient is φ = 98959795200.

The previous prime is 332125120963. The next prime is 332125121021. The reversal of 332125121020 is 20121521233.

It is a super-2 number, since 2×3321251210202 (a number of 24 digits) contains 22 as substring.

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 = 332125120982 and 332125121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332125121021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1463106147 + ... + 1463106373.

It is an arithmetic number, because the mean of its divisors is an integer number (3154621680).

Almost surely, 2332125121020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332125121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454265521920).

332125121020 is an abundant number, since it is smaller than the sum of its proper divisors (576405922820).

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

332125121020 is a wasteful number, since it uses less digits than its factorization.

332125121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 332125121020 its reverse (20121521233), we get a palindrome (352246642253).

The spelling of 332125121020 in words is "three hundred thirty-two billion, one hundred twenty-five million, one hundred twenty-one thousand, twenty".