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120082472244 = 223371283123803
BaseRepresentation
bin110111111010101111…
…0010001110100110100
3102110221202100122011000
41233311132101310310
53431412103102434
6131055400043300
711450520113160
oct1576536216464
9373852318130
10120082472244
1146a214747a9
121b333463530
13b429301b07
145b52293ca0
1531cc346b99
hex1bf5791d34

120082472244 has 96 divisors (see below), whose sum is σ = 356080112640. Its totient is φ = 34282259424.

The previous prime is 120082472231. The next prime is 120082472327. The reversal of 120082472244 is 442274280021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120082472199 and 120082472208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908047 + ... + 1031849.

It is an arithmetic number, because the mean of its divisors is an integer number (3709167840).

Almost surely, 2120082472244 is an apocalyptic number.

120082472244 is a gapful number since it is divisible by the number (14) 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 120082472244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178040056320).

120082472244 is an abundant number, since it is smaller than the sum of its proper divisors (235997640396).

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

120082472244 is a wasteful number, since it uses less digits than its factorization.

120082472244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125106 (or 125098 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 120082472244 in words is "one hundred twenty billion, eighty-two million, four hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1283 2566 3849 5132 7698 8981 11547 15396 17962 23094 26943 34641 35924 46188 53886 69282 80829 107772 123803 138564 161658 242487 247606 323316 371409 484974 495212 742818 866621 969948 1114227 1485636 1733242 2228454 2599863 3342681 3466484 4456908 5199726 6685362 7799589 10399452 13370724 15599178 23398767 31198356 46797534 93595068 158839249 317678498 476517747 635356996 953035494 1111874743 1429553241 1906070988 2223749486 2859106482 3335624229 4288659723 4447498972 5718212964 6671248458 8577319446 10006872687 13342496916 17154638892 20013745374 30020618061 40027490748 60041236122 120082472244