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120120022001100 = 223521136400006667
BaseRepresentation
bin11011010011111110011111…
…001111011110010111001100
3120202022100202212100102021110
4123103332133033132113030
5111221021301113013400
61103250213140532020
734205246060311542
oct3323763717362714
9522270685312243
10120120022001100
1135301684996060
12115800943b1010
135204367048234
142193ba92a1d92
15dd48e6504e50
hex6d3f9f3de5cc

120120022001100 has 72 divisors (see below), whose sum is σ = 379142469453888. Its totient is φ = 29120005332800.

The previous prime is 120120022001081. The next prime is 120120022001141. The reversal of 120120022001100 is 1100220021021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18200000034 + ... + 18200006633.

It is an arithmetic number, because the mean of its divisors is an integer number (5265867631304).

Almost surely, 2120120022001100 is an apocalyptic number.

120120022001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120022001100 is an abundant number, since it is smaller than the sum of its proper divisors (259022447452788).

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

120120022001100 is a wasteful number, since it uses less digits than its factorization.

120120022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36400006695 (or 36400006688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120022001100 its reverse (1100220021021), we get a palindrome (121220242022121).

The spelling of 120120022001100 in words is "one hundred twenty trillion, one hundred twenty billion, twenty-two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 36400006667 72800013334 109200020001 145600026668 182000033335 218400040002 364000066670 400400073337 436800080004 546000100005 728000133340 800800146674 910000166675 1092000200010 1201200220011 1601600293348 1820000333350 2002000366685 2184000400020 2402400440022 2730000500025 3640000666700 4004000733370 4804800880044 5460001000050 6006001100055 8008001466740 10010001833425 10920002000100 12012002200110 20020003666850 24024004400220 30030005500275 40040007333700 60060011000550 120120022001100