1226136200340 has 96 divisors (see below), whose sum is σ = 3584808493056. Its totient is φ = 312547692160.

The previous prime is 1226136200321. The next prime is 1226136200413. The reversal of 1226136200340 is 430026316221.

It is a super-2 number, since 2×1226136200340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1226136200298 and 1226136200307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810045 + ... + 2393435.

It is an arithmetic number, because the mean of its divisors is an integer number (37341755136).

Almost surely, 2^{1226136200340} is an apocalyptic number.

1226136200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226136200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792404246528).

1226136200340 is an abundant number, since it is smaller than the sum of its proper divisors (2358672292716).

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

1226136200340 is a wasteful number, since it uses less digits than its factorization.

1226136200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584949 (or 584947 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 1226136200340 in words is "one trillion, two hundred twenty-six billion, one hundred thirty-six million, two hundred thousand, three hundred forty".