20029121181900 has 216 divisors, whose sum is σ = 64952406529920. Its totient is φ = 5156335134720.

The previous prime is 20029121181887. The next prime is 20029121181973. The reversal of 20029121181900 is 918112192002.

20029121181900 is a `hidden beast` number, since 200 + 291 + 2 + 1 + 1 + 81 + 90 + 0 = 666.

It is a super-2 number, since 2×20029121181900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258011892 + ... + 258089508.

Almost surely, 2^{20029121181900} is an apocalyptic number.

20029121181900 is a gapful number since it is divisible by the number (20) 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 20029121181900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32476203264960).

20029121181900 is an abundant number, since it is smaller than the sum of its proper divisors (44923285348020).

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

20029121181900 is a wasteful number, since it uses less digits than its factorization.

20029121181900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87553 (or 87543 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 20029121181900 in words is "twenty trillion, twenty-nine billion, one hundred twenty-one million, one hundred eighty-one thousand, nine hundred".