7242169950120 has 1024 divisors, whose sum is σ = 27888344064000. Its totient is φ = 1467272282112.

The previous prime is 7242169950109. The next prime is 7242169950133. The reversal of 7242169950120 is 210599612427.

It is a happy number.

It is a super-2 number, since 2×7242169950120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7242169950120.

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, 2036031382 + ... + 2036034938.

It is an arithmetic number, because the mean of its divisors is an integer number (27234711000).

Almost surely, 2^{7242169950120} is an apocalyptic number.

7242169950120 is a gapful number since it is divisible by the number (70) 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 7242169950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944172032000).

7242169950120 is an abundant number, since it is smaller than the sum of its proper divisors (20646174113880).

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

7242169950120 is a wasteful number, since it uses less digits than its factorization.

7242169950120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 7242169950120 in words is "seven trillion, two hundred forty-two billion, one hundred sixty-nine million, nine hundred fifty thousand, one hundred twenty".