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120021331020 = 223523252134499
BaseRepresentation
bin110111111000111010…
…1000010110001001100
3102110210111022100011020
41233301311002301030
53431300430043040
6131045333354140
711446145323653
oct1576165026114
9373714270136
10120021331020
114699aa04468
121b316a98950
13b419745586
145b480da19a
1531c6cbacd0
hex1bf1d42c4c

120021331020 has 96 divisors (see below), whose sum is σ = 350820288000. Its totient is φ = 30601105920.

The previous prime is 120021331019. The next prime is 120021331051. The reversal of 120021331020 is 20133120021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3461731 + ... + 3496229.

It is an arithmetic number, because the mean of its divisors is an integer number (3654378000).

Almost surely, 2120021331020 is an apocalyptic number.

120021331020 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 120021331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175410144000).

120021331020 is an abundant number, since it is smaller than the sum of its proper divisors (230798956980).

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

120021331020 is a wasteful number, since it uses less digits than its factorization.

120021331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37055 (or 37053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120021331020 its reverse (20133120021), we get a palindrome (140154451041).

The spelling of 120021331020 in words is "one hundred twenty billion, twenty-one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2521 5042 7563 10084 12605 15126 25210 30252 34499 37815 50420 57983 68998 75630 103497 115966 137996 151260 172495 173949 206994 231932 289915 344990 347898 413988 517485 579830 689980 695796 793477 869745 1034970 1159660 1586954 1739490 2069940 2380431 3173908 3478980 3967385 4760862 7934770 9521724 11902155 15869540 23804310 47608620 86971979 173943958 260915937 347887916 434859895 521831874 869719790 1043663748 1304579685 1739439580 2000355517 2609159370 4000711034 5218318740 6001066551 8001422068 10001777585 12002133102 20003555170 24004266204 30005332755 40007110340 60010665510 120021331020