1121214761700 has 432 divisors, whose sum is σ = 3807457640448. Its totient is φ = 253937376000.

The previous prime is 1121214761699. The next prime is 1121214761701. The reversal of 1121214761700 is 71674121211.

It is an interprime number because it is at equal distance from previous prime (1121214761699) and next prime (1121214761701).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1121214761701) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35885085 + ... + 35916315.

Almost surely, 2^{1121214761700} is an apocalyptic number.

1121214761700 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 1121214761700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903728820224).

1121214761700 is an abundant number, since it is smaller than the sum of its proper divisors (2686242878748).

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

1121214761700 is a wasteful number, since it uses less digits than its factorization.

1121214761700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

Adding to 1121214761700 its reverse (71674121211), we get a palindrome (1192888882911).

The spelling of 1121214761700 in words is "one trillion, one hundred twenty-one billion, two hundred fourteen million, seven hundred sixty-one thousand, seven hundred".