126020978641152 has 2304 divisors, whose sum is σ = 461888063078400. Its totient is φ = 33141078097920.

The previous prime is 126020978641139. The next prime is 126020978641169. The reversal of 126020978641152 is 251146879020621.

126020978641152 is a `hidden beast` number, since 1 + 2 + 60 + 2 + 0 + 97 + 86 + 411 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 454949381238 + ... + 454949381514.

It is an arithmetic number, because the mean of its divisors is an integer number (200472249600).

Almost surely, 2^{126020978641152} is an apocalyptic number.

126020978641152 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 126020978641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230944031539200).

126020978641152 is an abundant number, since it is smaller than the sum of its proper divisors (335867084437248).

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

126020978641152 is a wasteful number, since it uses less digits than its factorization.

126020978641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 126020978641152 in words is "one hundred twenty-six trillion, twenty billion, nine hundred seventy-eight million, six hundred forty-one thousand, one hundred fifty-two".