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1221122301012 = 2232101335842217
BaseRepresentation
bin10001110001010000100…
…011111001110001010100
311022201221010001011210100
4101301100203321301110
5130001324302113022
62332550440454100
7154136356204365
oct21612043716124
94281833034710
101221122301012
11430969782509
121787b347a330
138b1c7650b83
14431618b5b6c
1521b6e2451ac
hex11c508f9c54

1221122301012 has 36 divisors (see below), whose sum is σ = 3117287467476. Its totient is φ = 403010659200.

The previous prime is 1221122300999. The next prime is 1221122301019. The reversal of 1221122301012 is 2101032211221.

It can be written as a sum of positive squares in 2 ways, for example, as 744309954756 + 476812346256 = 862734^2 + 690516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12211223010122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221122301019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167917473 + ... + 167924744.

It is an arithmetic number, because the mean of its divisors is an integer number (86591318541).

Almost surely, 21221122301012 is an apocalyptic number.

1221122301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221122301012 is an abundant number, since it is smaller than the sum of its proper divisors (1896165166464).

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

1221122301012 is a wasteful number, since it uses less digits than its factorization.

1221122301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335842328 (or 335842323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1221122301012 its reverse (2101032211221), we get a palindrome (3322154512233).

The spelling of 1221122301012 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 335842217 671684434 1007526651 1343368868 2015053302 3022579953 4030106604 6045159906 12090319812 33920063917 67840127834 101760191751 135680255668 203520383502 305280575253 407040767004 610561150506 1221122301012