1211429146752 has 160 divisors (see below), whose sum is σ = 3932938746000. Its totient is φ = 367099706880.

The previous prime is 1211429146751. The next prime is 1211429146769. The reversal of 1211429146752 is 2576419241121.

It is a happy number.

1211429146752 is a `hidden beast` number, since 1 + 2 + 11 + 42 + 91 + 467 + 52 = 666.

It is a super-3 number, since 3×1211429146752³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211429146698 and 1211429146707.

It is not an unprimeable number, because it can be changed into a prime (1211429146751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5197002 + ... + 5425097.

Almost surely, 2^{1211429146752} is an apocalyptic number.

1211429146752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211429146752 is an abundant number, since it is smaller than the sum of its proper divisors (2721509599248).

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

1211429146752 is a wasteful number, since it uses less digits than its factorization.

1211429146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622136 (or 10622115 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 1211429146752 in words is "one trillion, two hundred eleven billion, four hundred twenty-nine million, one hundred forty-six thousand, seven hundred fifty-two".