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1202112130304 = 2819724379781
BaseRepresentation
bin10001011111100011011…
…101110110110100000000
311020220212021001110001202
4101133203131312310000
5124143411201132204
62320124230520332
7152564313341231
oct21374335666400
94226767043052
101202112130304
114238a3a5a928
12174b88b060a8
1389488061c57
144227ac51088
152140a34be1e
hex117e3776d00

1202112130304 has 72 divisors (see below), whose sum is σ = 2412945151848. Its totient is φ = 597698519040.

The previous prime is 1202112130207. The next prime is 1202112130327. The reversal of 1202112130304 is 4030312112021.

It can be written as a sum of positive squares in 4 ways, for example, as 795578370304 + 406533760000 = 891952^2 + 637600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122897894 + ... + 122907674.

It is an arithmetic number, because the mean of its divisors is an integer number (33513127109).

Almost surely, 21202112130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202112130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206472575924).

1202112130304 is an abundant number, since it is smaller than the sum of its proper divisors (1210833021544).

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

1202112130304 is an equidigital number, since it uses as much as digits as its factorization.

1202112130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1202112130304 its reverse (4030312112021), we get a palindrome (5232424242325).

The spelling of 1202112130304 in words is "one trillion, two hundred two billion, one hundred twelve million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 788 1576 2437 3152 4874 6304 9748 9781 12608 19496 19562 25216 38992 39124 50432 77984 78248 155968 156496 311936 312992 480089 623872 625984 960178 1251968 1920356 1926857 2503936 3840712 3853714 7681424 7707428 15362848 15414856 23836297 30725696 30829712 47672594 61451392 61659424 95345188 122902784 123318848 190690376 246637696 381380752 493275392 762761504 1525523008 3051046016 4695750509 6102092032 9391501018 18783002036 37566004072 75132008144 150264016288 300528032576 601056065152 1202112130304