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120121020020 = 22553937120941
BaseRepresentation
bin110111111011111000…
…1010100111001110100
3102111001102220001202102
41233313301110321310
53432001440120040
6131103254201232
711451465552311
oct1576761247164
9374042801672
10120121020020
1146a41203271
121b344353218
13b4342aa651
145b57449d08
1531d090d515
hex1bf7c54e74

120121020020 has 48 divisors (see below), whose sum is σ = 257290075728. Its totient is φ = 47091133440.

The previous prime is 120121020017. The next prime is 120121020023. The reversal of 120121020020 is 20020121021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120121020017) and next prime (120121020023).

It can be written as a sum of positive squares in 8 ways, for example, as 409171984 + 119711848036 = 20228^2 + 345994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120121019983 and 120121020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121020023) 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, 932750 + ... + 1053690.

It is an arithmetic number, because the mean of its divisors is an integer number (5360209911).

Almost surely, 2120121020020 is an apocalyptic number.

120121020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121020020 is an abundant number, since it is smaller than the sum of its proper divisors (137169055708).

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

120121020020 is a wasteful number, since it uses less digits than its factorization.

120121020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121940 (or 121938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120121020020 its reverse (20020121021), we get a palindrome (140141141041).

The spelling of 120121020020 in words is "one hundred twenty billion, one hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 937 1060 1874 3748 4685 9370 18740 49661 99322 120941 198644 241882 248305 483764 496610 604705 993220 1209410 2418820 6409873 12819746 25639492 32049365 64098730 113321717 128197460 226643434 453286868 566608585 1133217170 2266434340 6006051001 12012102002 24024204004 30030255005 60060510010 120121020020