1226150006400 has 1344 divisors, whose sum is σ = 5031479125440. Its totient is φ = 292626432000.

The previous prime is 1226150006339. The next prime is 1226150006401. The reversal of 1226150006400 is 46000516221.

1226150006400 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 15 + 0 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1226150006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1821916464 + ... + 1821917136.

Almost surely, 2^{1226150006400} is an apocalyptic number.

1226150006400 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 1226150006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515739562720).

1226150006400 is an abundant number, since it is smaller than the sum of its proper divisors (3805329119040).

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

1226150006400 is an equidigital number, since it uses as much as digits as its factorization.

1226150006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1226150006400 in words is "one trillion, two hundred twenty-six billion, one hundred fifty million, six thousand, four hundred".