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120235201024 = 29997235541
BaseRepresentation
bin110111111111010010…
…0111001001000000000
3102111100101202001122111
41233332210321020000
53432220202413044
6131122453345104
711454353226451
oct1577644711000
9374311661574
10120235201024
1146a9a700134
121b376638194
13b451b47a83
145b6868d128
1531da964b34
hex1bfe939200

120235201024 has 40 divisors (see below), whose sum is σ = 240477547068. Its totient is φ = 60057047040.

The previous prime is 120235200937. The next prime is 120235201043. The reversal of 120235201024 is 420102532021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106693689600 + 13541511424 = 326640^2 + 116368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120235200986 and 120235201004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392694 + ... + 628234.

Almost surely, 2120235201024 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 120235201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120238773534).

120235201024 is an abundant number, since it is smaller than the sum of its proper divisors (120242346044).

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

120235201024 is an frugal number, since it uses more digits than its factorization.

120235201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236556 (or 236540 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 120235201024 its reverse (420102532021), we get a palindrome (540337733045).

The spelling of 120235201024 in words is "one hundred twenty billion, two hundred thirty-five million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 997 1994 3988 7976 15952 31904 63808 127616 235541 255232 471082 510464 942164 1884328 3768656 7537312 15074624 30149248 60298496 120596992 234834377 469668754 939337508 1878675016 3757350032 7514700064 15029400128 30058800256 60117600512 120235201024