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120122121120 = 25351971270327
BaseRepresentation
bin110111111011111010…
…1100001101110100000
3102111001111222000011220
41233313311201232200
53432002230333440
6131103333535040
711451511116441
oct1576765415640
9374044860156
10120122121120
1146a41895571
121b3447a4480
13b4345a48a1
145b576552c8
1531d0a798d0
hex1bf7d61ba0

120122121120 has 96 divisors (see below), whose sum is σ = 380305715328. Its totient is φ = 31869938688.

The previous prime is 120122121113. The next prime is 120122121121. The reversal of 120122121120 is 21121221021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120122121120.

It is not an unprimeable number, because it can be changed into a prime (120122121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540604 + ... + 729723.

It is an arithmetic number, because the mean of its divisors is an integer number (3961517868).

Almost surely, 2120122121120 is an apocalyptic number.

120122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122121120 is an abundant number, since it is smaller than the sum of its proper divisors (260183594208).

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

120122121120 is a wasteful number, since it uses less digits than its factorization.

120122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270542 (or 1270534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120122121120 its reverse (21121221021), we get a palindrome (141243342141).

Subtracting from 120122121120 its reverse (21121221021), we obtain a palindrome (99000900099).

The spelling of 120122121120 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 1270327 2540654 3810981 5081308 6351635 7621962 10162616 12703270 15243924 19054905 20325232 25406540 30487848 38109810 40650464 50813080 60975696 76219620 101626160 121951392 152439240 203252320 250254419 304878480 500508838 609756960 750763257 1001017676 1251272095 1501526514 2002035352 2502544190 3003053028 3753816285 4004070704 5005088380 6006106056 7507632570 8008141408 10010176760 12012212112 15015265140 20020353520 24024424224 30030530280 40040707040 60061060560 120122121120