11948222000 has 160 divisors (see below), whose sum is σ = 33942452544. Its totient is φ = 4010496000.

The previous prime is 11948221973. The next prime is 11948222051. The reversal of 11948222000 is 22284911.

It is a super-2 number, since 2×11948222000² (a number of 21 digits) contains 22 as substring.

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, 265112 + ... + 306888.

Almost surely, 2^11948222000 is an apocalyptic number.

11948222000 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 11948222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971226272).

11948222000 is an abundant number, since it is smaller than the sum of its proper divisors (21994230544).

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

11948222000 is a wasteful number, since it uses less digits than its factorization.

11948222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41824 (or 41808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 11948222000 in words is "eleven billion, nine hundred forty-eight million, two hundred twenty-two thousand".