122267694215772 has 576 divisors, whose sum is σ = 374317136793600. Its totient is φ = 33612718003200.

The previous prime is 122267694215767. The next prime is 122267694215783. The reversal of 122267694215772 is 277512496762221.

122267694215772 is a `hidden beast` number, since 1 + 2 + 2 + 26 + 76 + 9 + 421 + 57 + 72 = 666.

It is a super-3 number, since 3×122267694215772³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45775997997 + ... + 45776000667.

Almost surely, 2^{122267694215772} is an apocalyptic number.

122267694215772 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 122267694215772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187158568396800).

122267694215772 is an abundant number, since it is smaller than the sum of its proper divisors (252049442577828).

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

122267694215772 is a wasteful number, since it uses less digits than its factorization.

122267694215772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3980 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 122267694215772 in words is "one hundred twenty-two trillion, two hundred sixty-seven billion, six hundred ninety-four million, two hundred fifteen thousand, seven hundred seventy-two".