19121952 has 48 divisors (see below), whose sum is σ = 50591520. Its totient is φ = 6323712.

The previous prime is 19121909. The next prime is 19121953. The reversal of 19121952 is 25912191.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19121953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12628 + ... + 14060.

It is an arithmetic number, because the mean of its divisors is an integer number (1053990).

Almost surely, 2^19121952 is an apocalyptic number.

19121952 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 19121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295760).

19121952 is an abundant number, since it is smaller than the sum of its proper divisors (31469568).

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

19121952 is a wasteful number, since it uses less digits than its factorization.

19121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 19121952 is about 4372.8654221231. The cubic root of 19121952 is about 267.4098546224.

It can be divided in two parts, 191219 and 52, that added together give a triangular number (191271 = T₆₁₈).

The spelling of 19121952 in words is "nineteen million, one hundred twenty-one thousand, nine hundred fifty-two".