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120244144020 = 22357111312011667
BaseRepresentation
bin110111111111100011…
…1000000011110010100
3102111101000120102010120
41233333013000132110
53432230000102040
6131123413151540
711454522234360
oct1577707003624
9374330512116
10120244144020
1146aa4759140
121b37962b5b0
13b4539594a0
145b6993a2a0
1531db62e7d0
hex1bff1c0794

120244144020 has 384 divisors, whose sum is σ = 452698509312. Its totient is φ = 23030784000.

The previous prime is 120244143989. The next prime is 120244144087. The reversal of 120244144020 is 20441442021.

It is a super-2 number, since 2×1202441440202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72131227 + ... + 72132893.

It is an arithmetic number, because the mean of its divisors is an integer number (1178902368).

Almost surely, 2120244144020 is an apocalyptic number.

120244144020 is a gapful number since it is divisible by the number (10) 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 120244144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226349254656).

120244144020 is an abundant number, since it is smaller than the sum of its proper divisors (332454365292).

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

120244144020 is a wasteful number, since it uses less digits than its factorization.

120244144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120244144020 its reverse (20441442021), we get a palindrome (140685586041).

The spelling of 120244144020 in words is "one hundred twenty billion, two hundred forty-four million, one hundred forty-four thousand, twenty".