1201545166140 has 1440 divisors, whose sum is σ = 4670694306432. Its totient is φ = 256927334400.

The previous prime is 1201545166139. The next prime is 1201545166147. The reversal of 1201545166140 is 416615451021.

1201545166140 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 5 + 451 + 66 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1201545166095 and 1201545166104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201545166147) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4675272892 + ... + 4675273148.

Almost surely, 2^{1201545166140} is an apocalyptic number.

1201545166140 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 1201545166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335347153216).

1201545166140 is an abundant number, since it is smaller than the sum of its proper divisors (3469149140292).

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

1201545166140 is a wasteful number, since it uses less digits than its factorization.

1201545166140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1201545166140 in words is "one trillion, two hundred one billion, five hundred forty-five million, one hundred sixty-six thousand, one hundred forty".