1257379223100 has 864 divisors, whose sum is σ = 5048419880448. Its totient is φ = 233342208000.

The previous prime is 1257379223099. The next prime is 1257379223129. The reversal of 1257379223100 is 13229737521.

It is a happy number.

It is a super-2 number, since 2×1257379223100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 288586122 + ... + 288590478.

Almost surely, 2^{1257379223100} is an apocalyptic number.

1257379223100 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 1257379223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524209940224).

1257379223100 is an abundant number, since it is smaller than the sum of its proper divisors (3791040657348).

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

1257379223100 is a wasteful number, since it uses less digits than its factorization.

1257379223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 1257379223100 in words is "one trillion, two hundred fifty-seven billion, three hundred seventy-nine million, two hundred twenty-three thousand, one hundred".