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1221121313010 = 23251937433671223
BaseRepresentation
bin10001110001010000100…
…000001000100011110010
311022201221001011222111200
4101301100200020203302
5130001324024004020
62332550403352030
7154136344621044
oct21612040104362
94281831158450
101221121313010
11430969168185
121787b3082616
138b1c7396261
14431616d9a94
1521b6e0ec590
hex11c508088f2

1221121313010 has 384 divisors, whose sum is σ = 3524612382720. Its totient is φ = 292137850368.

The previous prime is 1221121313003. The next prime is 1221121313017. The reversal of 1221121313010 is 103131211221.

1221121313010 is a `hidden beast` number, since 1 + 221 + 12 + 131 + 301 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1221121313003) and next prime (1221121313017).

It is a super-2 number, since 2×12211213130102 (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 not an unprimeable number, because it can be changed into a prime (1221121313017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 998463259 + ... + 998464481.

It is an arithmetic number, because the mean of its divisors is an integer number (9178678080).

Almost surely, 21221121313010 is an apocalyptic number.

1221121313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221121313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762306191360).

1221121313010 is an abundant number, since it is smaller than the sum of its proper divisors (2303491069710).

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

1221121313010 is a wasteful number, since it uses less digits than its factorization.

1221121313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1221121313010 its reverse (103131211221), we get a palindrome (1324252524231).

The spelling of 1221121313010 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred thirteen thousand, ten".