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121200221210020 = 22517773461152961
BaseRepresentation
bin11011100011101100100000…
…001000011100010110100100
3120220010121221210201210000121
4123203230200020130112210
5111341221023112210040
61105434340222451324
734346266316143321
oct3343544010342644
9526117853653017
10121200221210020
11356887a820a6a7
12117154b8a33b44
1352821937b6a84
1421d019cadbb48
15e02a68989c4a
hex6e3b2021c5a4

121200221210020 has 48 divisors (see below), whose sum is σ = 269840888796528. Its totient is φ = 45569290895360.

The previous prime is 121200221210017. The next prime is 121200221210023. The reversal of 121200221210020 is 20012122002121.

It is a happy number.

121200221210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121200221210017) and next prime (121200221210023).

It can be written as a sum of positive squares in 8 ways, for example, as 8212717934656 + 112987503275364 = 2865784^2 + 10629558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121200221209976 and 121200221210003.

It is not an unprimeable number, because it can be changed into a prime (121200221210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230313661 + ... + 230839300.

It is an arithmetic number, because the mean of its divisors is an integer number (5621685183261).

Almost surely, 2121200221210020 is an apocalyptic number.

121200221210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200221210020 is an abundant number, since it is smaller than the sum of its proper divisors (148640667586508).

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

121200221210020 is a wasteful number, since it uses less digits than its factorization.

121200221210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461153760 (or 461153758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121200221210020 its reverse (20012122002121), we get a palindrome (141212343212141).

The spelling of 121200221210020 in words is "one hundred twenty-one trillion, two hundred billion, two hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 773 1546 3092 3865 7730 13141 15460 26282 52564 65705 131410 262820 461152961 922305922 1844611844 2305764805 4611529610 7839600337 9223059220 15679200674 31358401348 39198001685 78396003370 156792006740 356471238853 712942477706 1425884955412 1782356194265 3564712388530 6060011060501 7129424777060 12120022121002 24240044242004 30300055302505 60600110605010 121200221210020