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120121010002000 = 245378580072143
BaseRepresentation
bin11011010011111111011010…
…001000011001100001010000
3120202022110022201110001201101
4123103333122020121201100
5111221030312030031000
61103250455153114144
734205312415215620
oct3323773210314120
9522273281401641
10120121010002000
1135302041663827
121158030b258954
135204493943957
142193c605a8880
15dd4953115e6a
hex6d3fda219850

120121010002000 has 80 divisors (see below), whose sum is σ = 331945831107072. Its totient is φ = 41184346281600.

The previous prime is 120121010001989. The next prime is 120121010002001. The reversal of 120121010002000 is 200010121021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121010002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290022072 + ... + 4290050071.

Almost surely, 2120121010002000 is an apocalyptic number.

120121010002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121010002000 is an abundant number, since it is smaller than the sum of its proper divisors (211824821105072).

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

120121010002000 is an equidigital number, since it uses as much as digits as its factorization.

120121010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580072173 (or 8580072157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120121010002000 its reverse (200010121021), we get a palindrome (120321020123021).

The spelling of 120121010002000 in words is "one hundred twenty trillion, one hundred twenty-one billion, ten million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 8580072143 17160144286 34320288572 42900360715 60060505001 68640577144 85800721430 120121010002 137281154288 171601442860 214501803575 240242020004 300302525005 343202885720 429003607150 480484040008 600605050010 686405771440 858007214300 960968080016 1072509017875 1201210100020 1501512625025 1716014428600 2145018035750 2402420200040 3003025250050 3432028857200 4290036071500 4804840400080 6006050500100 7507563125125 8580072143000 12012101000200 15015126250250 17160144286000 24024202000400 30030252500500 60060505001000 120121010002000