1206958620672 has 612 divisors, whose sum is σ = 4148220990576. Its totient is φ = 343985356800.

The previous prime is 1206958620671. The next prime is 1206958620677. The reversal of 1206958620672 is 2760268596021.

1206958620672 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 9 + 5 + 8 + 620 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1206958620672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206958620671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3009871672 + ... + 3009872072.

Almost surely, 2^{1206958620672} is an apocalyptic number.

1206958620672 is a gapful number since it is divisible by the number (12) 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 1206958620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074110495288).

1206958620672 is an abundant number, since it is smaller than the sum of its proper divisors (2941262369904).

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

1206958620672 is an frugal number, since it uses more digits than its factorization.

1206958620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1206958620672 in words is "one trillion, two hundred six billion, nine hundred fifty-eight million, six hundred twenty thousand, six hundred seventy-two".