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120212122002102 = 232135996451132947
BaseRepresentation
bin11011010101010100010000…
…110101000110001010110110
3120202122011111110202020012200
4123111110100311012022312
5111224023411213031402
61103400404135325330
734215016306355154
oct3325242065061266
9522564443666180
10120212122002102
1135337746a45a69
1211595ab8520846
13520cc53c58950
14219842504a3d4
15dd6ed6de921c
hex6d5510d462b6

120212122002102 has 96 divisors (see below), whose sum is σ = 281008890489600. Its totient is φ = 36920593195200.

The previous prime is 120212122002083. The next prime is 120212122002143. The reversal of 120212122002102 is 201200221212021.

It is a happy number.

120212122002102 is a `hidden beast` number, since 1 + 20 + 21 + 212 + 200 + 210 + 2 = 666.

120212122002102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904144393 + ... + 904277339.

It is an arithmetic number, because the mean of its divisors is an integer number (2927175942600).

Almost surely, 2120212122002102 is an apocalyptic number.

120212122002102 is an abundant number, since it is smaller than the sum of its proper divisors (160796768487498).

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

120212122002102 is a wasteful number, since it uses less digits than its factorization.

120212122002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140018 (or 140015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212122002102 its reverse (201200221212021), we get a palindrome (321412343214123).

The spelling of 120212122002102 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 599 1198 1797 3594 5391 6451 7787 10782 12902 15574 19353 23361 38706 46722 58059 70083 83863 116118 132947 140166 167726 251589 265894 398841 503178 754767 797682 1196523 1509534 1728311 2393046 3456622 3864149 5184933 7728298 10369866 11592447 15554799 23184894 31109598 34777341 50233937 69554682 79635253 100467874 150701811 159270506 238905759 301403622 452105433 477811518 716717277 857641097 904210866 1035258289 1433434554 1715282194 2070516578 2572923291 3105774867 5145846582 6211549734 7718769873 9317324601 11149334261 15437539746 18634649202 22298668522 33448002783 66896005566 100344008349 200688016698 513727017103 1027454034206 1541181051309 3082362102618 4623543153927 6678451222339 9247086307854 13356902444678 20035353667017 40070707334034 60106061001051 120212122002102