1961142072120 has 1920 divisors, whose sum is σ = 8863190138880. Its totient is φ = 379369267200.

The previous prime is 1961142072107. The next prime is 1961142072121. The reversal of 1961142072120 is 212702411691.

1961142072120 is a `hidden beast` number, since 1 + 9 + 6 + 11 + 420 + 7 + 212 + 0 = 666.

It is a super-3 number, since 3×1961142072120³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961142072121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5924900355 + ... + 5924900685.

It is an arithmetic number, because the mean of its divisors is an integer number (4616244864).

Almost surely, 2^{1961142072120} is an apocalyptic number.

1961142072120 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 1961142072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431595069440).

1961142072120 is an abundant number, since it is smaller than the sum of its proper divisors (6902048066760).

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

1961142072120 is a wasteful number, since it uses less digits than its factorization.

1961142072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1961142072120 in words is "one trillion, nine hundred sixty-one billion, one hundred forty-two million, seventy-two thousand, one hundred twenty".