1149122700 has 252 divisors, whose sum is σ = 4081410648. Its totient is φ = 278380800.

The previous prime is 1149122677. The next prime is 1149122707. The reversal of 1149122700 is 72219411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149122707) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 801184 + ... + 802616.

It is an arithmetic number, because the mean of its divisors is an integer number (16196074).

Almost surely, 2^1149122700 is an apocalyptic number.

1149122700 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 1149122700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040705324).

1149122700 is an abundant number, since it is smaller than the sum of its proper divisors (2932287948).

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

1149122700 is a wasteful number, since it uses less digits than its factorization.

1149122700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1149122700 is about 33898.7123649262. The cubic root of 1149122700 is about 1047.4230685712.

It can be divided in two parts, 11491 and 22700, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 1149122700 in words is "one billion, one hundred forty-nine million, one hundred twenty-two thousand, seven hundred".