151220240100000 has 432 divisors, whose sum is σ = 542828465426520. Its totient is φ = 39926112000000.

The previous prime is 151220240099989. The next prime is 151220240100011. The reversal of 151220240100000 is 1042022151.

It is an interprime number because it is at equal distance from previous prime (151220240099989) and next prime (151220240100011).

It can be written as a sum of positive squares in 12 ways, for example, as 59001017788944 + 92219222311056 = 7681212^2 + 9603084^2 .

It is a super-2 number, since 2×151220240100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90068206 + ... + 91731794.

Almost surely, 2^{151220240100000} is an apocalyptic number.

151220240100000 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 151220240100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271414232713260).

151220240100000 is an abundant number, since it is smaller than the sum of its proper divisors (391608225326520).

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

151220240100000 is a wasteful number, since it uses less digits than its factorization.

151220240100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663731 (or 1663700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 151220240100000 its reverse (1042022151), we get a palindrome (151221282122151).

The spelling of 151220240100000 in words is "one hundred fifty-one trillion, two hundred twenty billion, two hundred forty million, one hundred thousand".