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121133708917776 = 24329171732
BaseRepresentation
bin11011100010101110100011…
…101100001011110000010000
3120212220021021110010020202100
4123202232203230023300100
5111334123313440332101
61105344020241320400
734341423142036002
oct3342564354136020
9525807243106670
10121133708917776
113566257680a035
1211704636036100
135278b23ac3a29
1421cac8d3a4372
15e00e74658e86
hex6e2ba3b0bc10

121133708917776 has 45 divisors (see below), whose sum is σ = 339006513328509. Its totient is φ = 40377858948288.

The previous prime is 121133708917717. The next prime is 121133708917829. The reversal of 121133708917776 is 677719807331121.

The square root of 121133708917776 is 11006076.

It is a perfect power (a square), and thus also a powerful number.

121133708917776 is a `hidden beast` number, since 1 + 2 + 1 + 13 + 370 + 89 + 177 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101307848432400 + 19825860485376 = 10065180^2 + 4452624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131614326 + ... + 132531498.

Almost surely, 2121133708917776 is an apocalyptic number.

121133708917776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121133708917776 is the 11006076-th square number.

It is an amenable number.

121133708917776 is an abundant number, since it is smaller than the sum of its proper divisors (217872804410733).

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

121133708917776 is an frugal number, since it uses more digits than its factorization.

121133708917776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834360 (or 917178 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 121133708917776 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, seven hundred eight million, nine hundred seventeen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 917173 1834346 2751519 3668692 5503038 7337384 8254557 11006076 14674768 16509114 22012152 33018228 44024304 66036456 132072912 841206311929 1682412623858 2523618935787 3364825247716 5047237871574 6729650495432 7570856807361 10094475743148 13459300990864 15141713614722 20188951486296 30283427229444 40377902972592 60566854458888 121133708917776