122620061571840 has 1728 divisors, whose sum is σ = 525031258752000. Its totient is φ = 27374617460736.

The previous prime is 122620061571773. The next prime is 122620061571853. The reversal of 122620061571840 is 48175160026221.

122620061571840 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 20 + 0 + 615 + 7 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4587515596 + ... + 4587542324.

It is an arithmetic number, because the mean of its divisors is an integer number (303837534000).

Almost surely, 2^{122620061571840} is an apocalyptic number.

122620061571840 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 122620061571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262515629376000).

122620061571840 is an abundant number, since it is smaller than the sum of its proper divisors (402411197180160).

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

122620061571840 is an frugal number, since it uses more digits than its factorization.

122620061571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26829 (or 26789 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 122620061571840 in words is "one hundred twenty-two trillion, six hundred twenty billion, sixty-one million, five hundred seventy-one thousand, eight hundred forty".