1229681388100 has 243 divisors, whose sum is σ = 3120988163461. Its totient is φ = 420143820800.

The previous prime is 1229681388097. The next prime is 1229681388157. The reversal of 1229681388100 is 18831869221.

It is a happy number.

The square root of 1229681388100 is 1108910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 299289961476 + 930391426624 = 547074^2 + 964568^2 .

It is a super-2 number, since 2×1229681388100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2073661404 + ... + 2073661996.

Almost surely, 2^{1229681388100} is an apocalyptic number.

1229681388100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1229681388100 is the 1108910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229681388100

1229681388100 is an abundant number, since it is smaller than the sum of its proper divisors (1891306775361).

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

1229681388100 is a wasteful number, since it uses less digits than its factorization.

1229681388100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

Multiplying 1229681388100 by its sum of digits (49), we get a square (60254388016900 = 7762370²).

The spelling of 1229681388100 in words is "one trillion, two hundred twenty-nine billion, six hundred eighty-one million, three hundred eighty-eight thousand, one hundred".