1262051062272 has 2400 divisors, whose sum is σ = 5319832883904. Its totient is φ = 292626432000.

The previous prime is 1262051062249. The next prime is 1262051062309. The reversal of 1262051062272 is 2722601502621.

1262051062272 is a `hidden beast` number, since 1 + 2 + 6 + 20 + 5 + 1 + 0 + 622 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12495555022 + ... + 12495555122.

Almost surely, 2^{1262051062272} is an apocalyptic number.

1262051062272 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 1262051062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659916441952).

1262051062272 is an abundant number, since it is smaller than the sum of its proper divisors (4057781821632).

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

1262051062272 is a wasteful number, since it uses less digits than its factorization.

1262051062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 1262051062272 its reverse (2722601502621), we get a palindrome (3984652564893).

The spelling of 1262051062272 in words is "one trillion, two hundred sixty-two billion, fifty-one million, sixty-two thousand, two hundred seventy-two".