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1201212386064 = 2436166361927
BaseRepresentation
bin10001011110101101110…
…101100110101100010000
311020211112120000201000000
4101132231311212230100
5124140040332323224
62315455050130000
7152533106546205
oct21365565465420
94224476021000
101201212386064
11423482092749
12174977720900
1389373827b02
14421d355dcac
15213a63710c9
hex117add66b10

1201212386064 has 140 divisors (see below), whose sum is σ = 3491581889536. Its totient is φ = 400156894656.

The previous prime is 1201212386039. The next prime is 1201212386071. The reversal of 1201212386064 is 4606832121021.

It is a happy number.

1201212386064 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 12 + 38 + 606 + 4 = 666.

It is a super-2 number, since 2×12012123860642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19366269 + ... + 19428195.

Almost surely, 21201212386064 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 1201212386064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745790944768).

1201212386064 is an abundant number, since it is smaller than the sum of its proper divisors (2290369503472).

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

1201212386064 is an equidigital number, since it uses as much as digits as its factorization.

1201212386064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63616 (or 63595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1201212386064 in words is "one trillion, two hundred one billion, two hundred twelve million, three hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1663 1944 2916 3326 3888 4989 5832 6652 9978 11664 13304 14967 19956 26608 29934 39912 44901 59868 61927 79824 89802 119736 123854 134703 179604 185781 239472 247708 269406 359208 371562 404109 495416 538812 557343 718416 743124 808218 990832 1077624 1114686 1212327 1486248 1616436 1672029 2155248 2229372 2424654 2972496 3232872 3344058 4458744 4849308 5016087 6465744 6688116 8917488 9698616 10032174 13376232 15048261 19397232 20064348 26752464 30096522 40128696 45144783 60193044 80257392 90289566 102984601 120386088 180579132 205969202 240772176 308953803 361158264 411938404 617907606 722316528 823876808 926861409 1235815212 1647753616 1853722818 2471630424 2780584227 3707445636 4943260848 5561168454 7414891272 8341752681 11122336908 14829782544 16683505362 22244673816 25025258043 33367010724 44489347632 50050516086 66734021448 75075774129 100101032172 133468042896 150151548258 200202064344 300303096516 400404128688 600606193032 1201212386064