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121000101210 = 2345149382841
BaseRepresentation
bin111000010110000101…
…0110000010101011010
3102120022201001000110000
41300230022300111122
53440302011214320
6131330420033430
711512331614242
oct1605412602532
9376281030400
10121000101210
1147352447a4a
121b54a832876
13b54445b631
145bdc0bcb22
153232ba6c90
hex1c2c2b055a

121000101210 has 40 divisors (see below), whose sum is σ = 325355829876. Its totient is φ = 32266693440.

The previous prime is 121000101203. The next prime is 121000101217. The reversal of 121000101210 is 12101000121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121000101203) and next prime (121000101217).

It can be written as a sum of positive squares in 2 ways, for example, as 120018594969 + 981506241 = 346437^2 + 31329^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121000101192 and 121000101201.

It is not an unprimeable number, because it can be changed into a prime (121000101217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74690611 + ... + 74692230.

Almost surely, 2121000101210 is an apocalyptic number.

121000101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121000101210 is an abundant number, since it is smaller than the sum of its proper divisors (204355728666).

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

121000101210 is a wasteful number, since it uses less digits than its factorization.

121000101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149382860 (or 149382851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000101210 its reverse (12101000121), we get a palindrome (133101101331).

The spelling of 121000101210 in words is "one hundred twenty-one billion, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 149382841 298765682 448148523 746914205 896297046 1344445569 1493828410 2240742615 2688891138 4033336707 4481485230 6722227845 8066673414 12100010121 13444455690 20166683535 24200020242 40333367070 60500050605 121000101210