1261142154000 has 120 divisors (see below), whose sum is σ = 4404749226072. Its totient is φ = 336304569600.

The previous prime is 1261142153939. The next prime is 1261142154037. The reversal of 1261142154000 is 4512411621.

1261142154000 is a `hidden beast` number, since 1 + 2 + 6 + 114 + 2 + 1 + 540 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23094273024 + 1238047880976 = 151968^2 + 1112676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35013727 + ... + 35049726.

Almost surely, 2^{1261142154000} is an apocalyptic number.

1261142154000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261142154000 is an abundant number, since it is smaller than the sum of its proper divisors (3143607072072).

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

1261142154000 is a wasteful number, since it uses less digits than its factorization.

1261142154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70063482 (or 70063463 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1261142154000 its reverse (4512411621), we get a palindrome (1265654565621).

The spelling of 1261142154000 in words is "one trillion, two hundred sixty-one billion, one hundred forty-two million, one hundred fifty-four thousand".