11907123448900 has 27 divisors (see below), whose sum is σ = 25838532763869. Its totient is φ = 4762835576880.

The previous prime is 11907123448897. The next prime is 11907123449003. The reversal of 11907123448900 is 984432170911.

The square root of 11907123448900 is 3450670.

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

It can be written as a sum of positive squares in only one way, i.e., 4286564441604 + 7620559007296 = 2070402^2 + 2760536^2 .

It is a super-2 number, since 2×11907123448900² (a number of 27 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 8 ways as a sum of consecutive naturals, for example, 34334167 + ... + 34679233.

Almost surely, 2^{11907123448900} is an apocalyptic number.

11907123448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11907123448900 is the 3450670-th square number.

It is an amenable number.

11907123448900 is an abundant number, since it is smaller than the sum of its proper divisors (13931409314969).

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

11907123448900 is an frugal number, since it uses more digits than its factorization.

11907123448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690148 (or 345074 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 11907123448900 by its sum of digits (49), we get a square (583449048996100 = 24154690²).

The spelling of 11907123448900 in words is "eleven trillion, nine hundred seven billion, one hundred twenty-three million, four hundred forty-eight thousand, nine hundred".