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121220210021220 = 223251016667778329
BaseRepresentation
bin11011100011111111000111…
…100011101101001101100100
3120220012112112212012121010100
4123203333013203231031210
5111342032442231134340
61105451443512224100
734350604544216652
oct3343770743551544
9526175485177110
10121220210021220
1135696225397382
121171935709b030
13528402aa749cb
1421d113770ddd2
15e03338745830
hex6e3fc78ed364

121220210021220 has 72 divisors (see below), whose sum is σ = 371341910754360. Its totient is φ = 32005335974400.

The previous prime is 121220210021189. The next prime is 121220210021233. The reversal of 121220210021220 is 22120012022121.

It is a happy number.

121220210021220 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 210 + 0 + 212 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71216417196324 + 50003792824896 = 8438982^2 + 7071336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121220210021193 and 121220210021202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3333870985 + ... + 3333907344.

It is an arithmetic number, because the mean of its divisors is an integer number (5157526538255).

Almost surely, 2121220210021220 is an apocalyptic number.

121220210021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220210021220 is an abundant number, since it is smaller than the sum of its proper divisors (250121700733140).

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

121220210021220 is a wasteful number, since it uses less digits than its factorization.

121220210021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667778445 (or 6667778440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121220210021220 its reverse (22120012022121), we get a palindrome (143340222043341).

The spelling of 121220210021220 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 6667778329 13335556658 20003334987 26671113316 33338891645 40006669974 60010004961 66677783290 80013339948 100016674935 120020009922 133355566580 200033349870 240040019844 300050024805 400066699740 600100049610 673445611229 1200200099220 1346891222458 2020336833687 2693782444916 3367228056145 4040673667374 6061010501061 6734456112290 8081347334748 10101684168435 12122021002122 13468912224580 20203368336870 24244042004244 30305052505305 40406736673740 60610105010610 121220210021220