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120331311012 = 223211617492491
BaseRepresentation
bin111000000010001001…
…1100001011110100100
3102111121002120221202200
41300010103201132210
53432414303423022
6131140205334500
711456631160503
oct1600423413644
9374532527680
10120331311012
1147039984a80
121b3a2867430
13b468a28aa3
145b7734a83a
1531e40ebbac
hex1c044e17a4

120331311012 has 72 divisors (see below), whose sum is σ = 332361181152. Its totient is φ = 36404860800.

The previous prime is 120331310999. The next prime is 120331311031. The reversal of 120331311012 is 210113133021.

120331311012 is a `hidden beast` number, since 1 + 20 + 331 + 311 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1914 + ... + 490577.

It is an arithmetic number, because the mean of its divisors is an integer number (4616127516).

Almost surely, 2120331311012 is an apocalyptic number.

120331311012 is a gapful number since it is divisible by the number (12) 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 120331311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166180590576).

120331311012 is an abundant number, since it is smaller than the sum of its proper divisors (212029870140).

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

120331311012 is a wasteful number, since it uses less digits than its factorization.

120331311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493129 (or 493124 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120331311012 its reverse (210113133021), we get a palindrome (330444444033).

The spelling of 120331311012 in words is "one hundred twenty billion, three hundred thirty-one million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 617 1234 1851 2468 3702 5553 6787 7404 11106 13574 20361 22212 27148 40722 61083 81444 122166 244332 492491 984982 1477473 1969964 2954946 4432419 5417401 5909892 8864838 10834802 16252203 17729676 21669604 32504406 48756609 65008812 97513218 195026436 303866947 607733894 911600841 1215467788 1823201682 2734802523 3342536417 3646403364 5469605046 6685072834 10027609251 10939210092 13370145668 20055218502 30082827753 40110437004 60165655506 120331311012