1270201201920 has 2592 divisors, whose sum is σ = 5839466121216. Its totient is φ = 257989017600.

The previous prime is 1270201201891. The next prime is 1270201201957. The reversal of 1270201201920 is 291021020721.

1270201201920 is a `hidden beast` number, since 1 + 270 + 201 + 2 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1270201201920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30980517100 + ... + 30980517140.

It is an arithmetic number, because the mean of its divisors is an integer number (2252880448).

Almost surely, 2^{1270201201920} is an apocalyptic number.

1270201201920 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 1270201201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919733060608).

1270201201920 is an abundant number, since it is smaller than the sum of its proper divisors (4569264919296).

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

1270201201920 is an frugal number, since it uses more digits than its factorization.

1270201201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1270201201920 in words is "one trillion, two hundred seventy billion, two hundred one million, two hundred one thousand, nine hundred twenty".