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1201210020096 = 2831871835957
BaseRepresentation
bin10001011110101101101…
…100100101000100000000
311020211112101120111111120
4101132231230211010000
5124140034231120341
62315454523312240
7152533050463302
oct21365554450400
94224471514446
101201210020096
114234808170a9
1217497697b680
13893731a9c28
14421d3105972
15213a6055066
hex117adb25100

1201210020096 has 72 divisors (see below), whose sum is σ = 3198682940544. Its totient is φ = 400188856320.

The previous prime is 1201210020089. The next prime is 1201210020103. The reversal of 1201210020096 is 6900200121021.

It is an interprime number because it is at equal distance from previous prime (1201210020089) and next prime (1201210020103).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018950 + ... + 1854906.

It is an arithmetic number, because the mean of its divisors is an integer number (44426151952).

Almost surely, 21201210020096 is an apocalyptic number.

1201210020096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201210020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599341470272).

1201210020096 is an abundant number, since it is smaller than the sum of its proper divisors (1997472920448).

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

1201210020096 is an equidigital number, since it uses as much as digits as its factorization.

1201210020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837847 (or 837833 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 1201210020096 in words is "one trillion, two hundred one billion, two hundred ten million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1871 3742 5613 7484 11226 14968 22452 29936 44904 59872 89808 119744 179616 239488 359232 478976 718464 835957 1436928 1671914 2507871 3343828 5015742 6687656 10031484 13375312 20062968 26750624 40125936 53501248 80251872 107002496 160503744 214004992 321007488 642014976 1564075547 3128151094 4692226641 6256302188 9384453282 12512604376 18768906564 25025208752 37537813128 50050417504 75075626256 100100835008 150151252512 200201670016 300302505024 400403340032 600605010048 1201210020096